The nucleation of bubbles during a first-order phase transition has recently been explored using holographic duality, which can provide an important complement to standard perturbative methods. These computations typically require finding static and spatially inhomogeneous saddle points, known as critical bubbles, which correspond in the gravitational dual to solutions of nonlinear partial differential equations. A computationally simpler alternative is to use the gravitational dual to derive the effective action of the boundary theory in a derivative expansion, and then solve the resulting lower-dimensional equations of motion. Once the effective action, typically truncated at two derivatives, is obtained, the holographic theory can be set aside, and bubble solutions can be found from ordinary differential equations. In this paper, we test this approach in a simple holographic setup: a scalar field in the probe limit in a black brane background, with nonlinear multi-trace boundary conditions. We compute critical bubble solutions both from the effective action and by solving the scalar field equation of motion directly in the gravity theory, and find good agreement between the two methods.
{"title":"Testing the effective action approach to bubble nucleation in holography","authors":"Oscar Henriksson, Niko Jokela, Xin Li","doi":"10.1007/JHEP01(2026)123","DOIUrl":"10.1007/JHEP01(2026)123","url":null,"abstract":"<p>The nucleation of bubbles during a first-order phase transition has recently been explored using holographic duality, which can provide an important complement to standard perturbative methods. These computations typically require finding static and spatially inhomogeneous saddle points, known as critical bubbles, which correspond in the gravitational dual to solutions of nonlinear partial differential equations. A computationally simpler alternative is to use the gravitational dual to derive the effective action of the boundary theory in a derivative expansion, and then solve the resulting lower-dimensional equations of motion. Once the effective action, typically truncated at two derivatives, is obtained, the holographic theory can be set aside, and bubble solutions can be found from ordinary differential equations. In this paper, we test this approach in a simple holographic setup: a scalar field in the probe limit in a black brane background, with nonlinear multi-trace boundary conditions. We compute critical bubble solutions both from the effective action and by solving the scalar field equation of motion directly in the gravity theory, and find good agreement between the two methods.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP01(2026)123.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146082832","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Gary T. Horowitz, Maciej Kolanowski, Jorge E. Santos
It is known that linearized perturbations of extremal black holes result in growing curvature on the horizon. However, nonlinear perturbations typically do not evolve to extremal black holes and do not have growing curvature at late times. We show that a large class of nonlinear perturbations of an extremal planar anti-de Sitter black hole does have horizon curvature that grows unbounded in time. The late time behavior of the nonlinear evolution is found to be captured by a linearized analysis. We argue that the generic nonlinear perturbation behaves similarly.
{"title":"Frozen firewall: generic singularity formation on an extremal horizon","authors":"Gary T. Horowitz, Maciej Kolanowski, Jorge E. Santos","doi":"10.1007/JHEP01(2026)120","DOIUrl":"10.1007/JHEP01(2026)120","url":null,"abstract":"<p>It is known that linearized perturbations of extremal black holes result in growing curvature on the horizon. However, nonlinear perturbations typically do not evolve to extremal black holes and do not have growing curvature at late times. We show that a large class of nonlinear perturbations of an extremal planar anti-de Sitter black hole does have horizon curvature that grows unbounded in time. The late time behavior of the nonlinear evolution is found to be captured by a linearized analysis. We argue that the generic nonlinear perturbation behaves similarly.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP01(2026)120.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146082836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we investigate the general formalism and properties of the spacetime density matrix, which captures correlations among different Cauchy surfaces and can be regarded as a natural generalization of the standard density matrix defined on a single Cauchy surface. We present the construction of the spacetime density matrix in general quantum systems and its representation via the Schwinger-Keldysh path integral. We further introduce a super-operator framework, within which the spacetime density matrix appears as a special case, and discuss possible generalizations from this perspective. We also show that the spacetime density matrix satisfies a Liouville-von Neumann type equation of motion. When considering subsystems, a reduced spacetime density matrix can be defined by tracing over complementary degrees of freedom. We study the general properties of its moments and, in particular, derive universal short-time behavior of the second moment. We find that coupling between subsystems plays a crucial role in obtaining nontrivial results. Assuming weak coupling, we develop a perturbative method to compute the moments systematically.
{"title":"Spacetime density matrix: formalism and properties","authors":"Wu-zhong Guo","doi":"10.1007/JHEP01(2026)128","DOIUrl":"10.1007/JHEP01(2026)128","url":null,"abstract":"<p>In this paper, we investigate the general formalism and properties of the spacetime density matrix, which captures correlations among different Cauchy surfaces and can be regarded as a natural generalization of the standard density matrix defined on a single Cauchy surface. We present the construction of the spacetime density matrix in general quantum systems and its representation via the Schwinger-Keldysh path integral. We further introduce a super-operator framework, within which the spacetime density matrix appears as a special case, and discuss possible generalizations from this perspective. We also show that the spacetime density matrix satisfies a Liouville-von Neumann type equation of motion. When considering subsystems, a reduced spacetime density matrix can be defined by tracing over complementary degrees of freedom. We study the general properties of its moments and, in particular, derive universal short-time behavior of the second moment. We find that coupling between subsystems plays a crucial role in obtaining nontrivial results. Assuming weak coupling, we develop a perturbative method to compute the moments systematically.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP01(2026)128.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146082837","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Junseok Lee, Kai Murai, Fuminobu Takahashi, Wen Yin
We propose two novel solutions to the domain wall problem of the QCD axion by introducing a massless or light axion that also couples to gluons. The first solution applies when the new axion forms strings after inflation. Due to its mixing with the QCD axion, domain walls of the QCD axion are bounded by these strings and confined into cosmologically safe string bundles. This scenario predicts the existence of such string bundles, which may survive until today and leave observable signatures, such as gravitational waves, cosmic birefringence, and CMB anisotropies. The simultaneous detection of the QCD axion and any of these cosmological signatures would serve as a smoking-gun signal. The second solution assumes a homogeneous initial condition for the new axion. If it is sufficiently light, its potential temporarily induces a bias in the QCD axion potential before the onset of oscillations, rendering the domain walls unstable. In both scenarios, the Peccei-Quinn mechanism remains effective, and the strong CP problem is not reintroduced. We identify the viable parameter regions and discuss the resulting dark matter abundance.
{"title":"Resolving the QCD axion domain wall problem with a light axion","authors":"Junseok Lee, Kai Murai, Fuminobu Takahashi, Wen Yin","doi":"10.1007/JHEP01(2026)124","DOIUrl":"10.1007/JHEP01(2026)124","url":null,"abstract":"<p>We propose two novel solutions to the domain wall problem of the QCD axion by introducing a massless or light axion that also couples to gluons. The first solution applies when the new axion forms strings after inflation. Due to its mixing with the QCD axion, domain walls of the QCD axion are bounded by these strings and confined into cosmologically safe string bundles. This scenario predicts the existence of such string bundles, which may survive until today and leave observable signatures, such as gravitational waves, cosmic birefringence, and CMB anisotropies. The simultaneous detection of the QCD axion and any of these cosmological signatures would serve as a smoking-gun signal. The second solution assumes a homogeneous initial condition for the new axion. If it is sufficiently light, its potential temporarily induces a bias in the QCD axion potential before the onset of oscillations, rendering the domain walls unstable. In both scenarios, the Peccei-Quinn mechanism remains effective, and the strong CP problem is not reintroduced. We identify the viable parameter regions and discuss the resulting dark matter abundance.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP01(2026)124.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146082827","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Christopher P. Herzog, William H. Pannell, Biswajit Sahoo, Andreas Stergiou
Aspects of parity-preserving, three-dimensional conformal field theories (CFTs) with a global U(1) symmetry in the presence of a background magnetic field are investigated. A local effective action is constructed to four-derivative order, based on an assumption that the magnetic field drives the theory into a gapped phase. This action is evaluated in a variety of backgrounds, and is used to obtain one- and two-point functions of the conserved current and stress-energy tensor. Dispersive arguments are developed and shown to impose powerful constraints on the Wilson coefficients of the effective action, leading to universal predictions for the CFT response at large magnetic field and the scaling dimensions of background monopole operators. These general results are further examined through explicit calculations in the free complex scalar, free Dirac fermion, and a holographic Einstein-Hilbert-Maxwell model.
{"title":"Magnetised bounds for conformal field theories","authors":"Christopher P. Herzog, William H. Pannell, Biswajit Sahoo, Andreas Stergiou","doi":"10.1007/JHEP01(2026)121","DOIUrl":"10.1007/JHEP01(2026)121","url":null,"abstract":"<p>Aspects of parity-preserving, three-dimensional conformal field theories (CFTs) with a global U(1) symmetry in the presence of a background magnetic field are investigated. A local effective action is constructed to four-derivative order, based on an assumption that the magnetic field drives the theory into a gapped phase. This action is evaluated in a variety of backgrounds, and is used to obtain one- and two-point functions of the conserved current and stress-energy tensor. Dispersive arguments are developed and shown to impose powerful constraints on the Wilson coefficients of the effective action, leading to universal predictions for the CFT response at large magnetic field and the scaling dimensions of background monopole operators. These general results are further examined through explicit calculations in the free complex scalar, free Dirac fermion, and a holographic Einstein-Hilbert-Maxwell model.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP01(2026)121.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146082834","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we extend our previous results on the gravitational interactions for massive spin 5/2 particles and spin 3 particles to massive spin 7/2, including its massless and partially massless limits. These results share some common features, such as a non-singular massless limit in AdS and a flat limit for non-zero masses, as well as a singularity at the points corresponding to the boundary of the unitary forbidden region. At the same time, these results allow us to suggest what the structure of non-minimal interactions for arbitrary spins looks like. Another subject of interest is the Skvortsov-Vasiliev formalism for describing free partially massless fields. This formalism has been very useful in our research, but our examples have shown that the application of the Fradkin-Vasiliev formalism for constructing interactions based on such description does not always lead to the correct results.
{"title":"On massive higher spins and gravity. Part III. Spin 7/2","authors":"Yu. M. Zinoviev","doi":"10.1007/JHEP01(2026)085","DOIUrl":"10.1007/JHEP01(2026)085","url":null,"abstract":"<p>In this paper, we extend our previous results on the gravitational interactions for massive spin 5/2 particles and spin 3 particles to massive spin 7/2, including its massless and partially massless limits. These results share some common features, such as a non-singular massless limit in AdS and a flat limit for non-zero masses, as well as a singularity at the points corresponding to the boundary of the unitary forbidden region. At the same time, these results allow us to suggest what the structure of non-minimal interactions for arbitrary spins looks like. Another subject of interest is the Skvortsov-Vasiliev formalism for describing free partially massless fields. This formalism has been very useful in our research, but our examples have shown that the application of the Fradkin-Vasiliev formalism for constructing interactions based on such description does not always lead to the correct results.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP01(2026)085.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982588","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The four-dimensional Chern-Simons (CS) theory provides a systematic procedure for realizing two-dimensional integrable field theories. It is therefore a natural question to ask whether integrable deformations of the theories can be realized in the four-dimensional CS theory. In this work, we study (Toverline{T}) and root-(Toverline{T}) deformations of two-dimensional integrable field theories, formulated in terms of dynamical coordinate transformations, within the framework of four-dimensional CS theory coupled to disorder defects. We illustrate our procedure in detail for the degenerate (mathcal{E})-model, a specific construction that captures and unifies a broad range of integrable systems, including the principal chiral model.
{"title":"(Toverline{T}) and root-(Toverline{T}) deformations in four-dimensional Chern-Simons theory","authors":"Jun-ichi Sakamoto, Roberto Tateo, Masahito Yamazaki","doi":"10.1007/JHEP01(2026)084","DOIUrl":"10.1007/JHEP01(2026)084","url":null,"abstract":"<p>The four-dimensional Chern-Simons (CS) theory provides a systematic procedure for realizing two-dimensional integrable field theories. It is therefore a natural question to ask whether integrable deformations of the theories can be realized in the four-dimensional CS theory. In this work, we study <span>(Toverline{T})</span> and root-<span>(Toverline{T})</span> deformations of two-dimensional integrable field theories, formulated in terms of dynamical coordinate transformations, within the framework of four-dimensional CS theory coupled to disorder defects. We illustrate our procedure in detail for the degenerate <span>(mathcal{E})</span>-model, a specific construction that captures and unifies a broad range of integrable systems, including the principal chiral model.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP01(2026)084.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145983142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Gabriel Arenas-Henriquez, Luca Ciambelli, Felipe Diaz, Weizhen Jia, David Rivera-Betancour
We explore asymptotically locally anti-de Sitter spacetimes exhibiting gravitational radiative behavior, employing null gauges that allow for a well-defined flat limit. The radiative content in the bulk is captured by the boundary Cotton and stress tensor, which we collect into a radiative vector. We reinterpret this vector holographically in terms of fluid variables in the dual boundary theory. For algebraically special solutions, we uncover a close connection between bulk radiation and dissipative corrections in the boundary stress tensor, demonstrating a direct link between radiation and entropy production in the boundary fluid. This reveals a rich interplay between radiative dynamics in the bulk and out-of-equilibrium conformal physics at the boundary. We then investigate the flat limit of this correspondence in the context of flat-space holography. In this setting, we construct a Carrollian analogue of the radiative vector and introduce Celestial observables, such as energy detectors, which emerge naturally from the bulk’s radiative structure. Our analysis shows that bulk radiation sources the Carrollian viscous stress tensor and heat current, which encodes the Bondi news in this framework. We illustrate our results with explicit examples, including Robinson-Trautman spacetimes and accelerating black holes.
{"title":"Radiation in fluid/gravity and the flat limit","authors":"Gabriel Arenas-Henriquez, Luca Ciambelli, Felipe Diaz, Weizhen Jia, David Rivera-Betancour","doi":"10.1007/JHEP01(2026)086","DOIUrl":"10.1007/JHEP01(2026)086","url":null,"abstract":"<p>We explore asymptotically locally anti-de Sitter spacetimes exhibiting gravitational radiative behavior, employing null gauges that allow for a well-defined flat limit. The radiative content in the bulk is captured by the boundary Cotton and stress tensor, which we collect into a radiative vector. We reinterpret this vector holographically in terms of fluid variables in the dual boundary theory. For algebraically special solutions, we uncover a close connection between bulk radiation and dissipative corrections in the boundary stress tensor, demonstrating a direct link between radiation and entropy production in the boundary fluid. This reveals a rich interplay between radiative dynamics in the bulk and out-of-equilibrium conformal physics at the boundary. We then investigate the flat limit of this correspondence in the context of flat-space holography. In this setting, we construct a Carrollian analogue of the radiative vector and introduce Celestial observables, such as energy detectors, which emerge naturally from the bulk’s radiative structure. Our analysis shows that bulk radiation sources the Carrollian viscous stress tensor and heat current, which encodes the Bondi news in this framework. We illustrate our results with explicit examples, including Robinson-Trautman spacetimes and accelerating black holes.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP01(2026)086.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982589","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Using functional integral methods, we investigate the non-Abelian Casimir energy in the Curci-Ferrari model, which offers an effective description of the infrared regime of Yang-Mills theory. We consider a 3+1D (resp. 2+1D) system of two infinite parallel plates (resp. wires) at a fixed distance from each other, with either perfect magnetic conductor (PMC) or perfect electric conductor (PEC) boundary conditions. Imposing the boundary conditions directly in the functional integral by the introduction of suitable auxiliary fields that act as Lagrange multipliers, we obtain a boundary effective action that captures the dynamics of this system. The Casimir energy is then computed both directly from the functional integral and via the energy-momentum tensor, providing equivalent results. We find that the Casimir energy for PEC and PMC conditions differs by a constant factor, which can be traced back to a van Dam-Veltman-Zakharov-like discontinuity (both in 3+1D and 2+1D). Lastly, we show that our analytical results are compatible with a variety of recent numerical lattice simulations of the non-perturbative Yang-Mills Casimir energy, in which a novel non-perturbative mass scale emerges.
利用泛函积分方法研究了Curci-Ferrari模型中的非阿贝尔卡西米尔能量,该模型提供了对Yang-Mills理论红外区域的有效描述。我们考虑一个3+1D(响应)。2+1D)系统的两个无限平行板(如。具有完美磁导体(PMC)或完美电导体(PEC)边界条件。通过引入合适的辅助场作为拉格朗日乘子,直接在泛函积分中施加边界条件,我们得到了一个捕获该系统动力学的边界有效作用。卡西米尔能量可以直接从泛函积分和能量动量张量中计算出来,得到等价的结果。我们发现PEC和PMC条件下的卡西米尔能量有一个常数因子的差异,这可以追溯到van dam - veltman - zakharov -类不连续(3+1D和2+1D)。最后,我们证明了我们的分析结果与最近的各种非摄动杨-米尔斯卡西米尔能量的数值晶格模拟是相容的,其中出现了一种新的非摄动质量尺度。
{"title":"Non-Abelian Casimir energy in the Curci-Ferrari model through a functional approach","authors":"David Dudal, Philipe De Fabritiis, Sebbe Stouten","doi":"10.1007/JHEP01(2026)087","DOIUrl":"10.1007/JHEP01(2026)087","url":null,"abstract":"<p>Using functional integral methods, we investigate the non-Abelian Casimir energy in the Curci-Ferrari model, which offers an effective description of the infrared regime of Yang-Mills theory. We consider a 3+1D (resp. 2+1D) system of two infinite parallel plates (resp. wires) at a fixed distance from each other, with either perfect magnetic conductor (PMC) or perfect electric conductor (PEC) boundary conditions. Imposing the boundary conditions directly in the functional integral by the introduction of suitable auxiliary fields that act as Lagrange multipliers, we obtain a boundary effective action that captures the dynamics of this system. The Casimir energy is then computed both directly from the functional integral and via the energy-momentum tensor, providing equivalent results. We find that the Casimir energy for PEC and PMC conditions differs by a constant factor, which can be traced back to a van Dam-Veltman-Zakharov-like discontinuity (both in 3+1D and 2+1D). Lastly, we show that our analytical results are compatible with a variety of recent numerical lattice simulations of the non-perturbative Yang-Mills Casimir energy, in which a novel non-perturbative mass scale emerges.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP01(2026)087.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We propose a unified framework that describes both the curvaton mechanism for generating primordial density fluctuations and the Affleck-Dine (AD) mechanism for baryogenesis. By introducing a complex scalar field (AD field) carrying a baryon/lepton number and its potential consisting of quadratic and quartic terms with a small baryon/lepton-number-violating mass term, we investigate the evolution of the scalar field during the radiation-dominated era following inflation. We set the initial conditions such that the quartic term dominates the scalar potential, and the angular component of the AD field is non-zero. We focus on a scenario where the AD field sufficiently dominates the energy density of the universe before its decay. We show that the radial component of the AD field can be identified with the curvaton to solely produce the Planck normalized scalar power spectrum while the evolution of the angular component is crucial for generating the observed baryon asymmetry of the universe. Additionally, we find that the amplitude of scalar bispectrum fNL is negative, which is consistent with the current Planck data and testable in future observations such as CMB-S4, LiteBIRD, LSS, and 21-cm experiments. In our estimation of the scalar power spectrum and bispectrum, we develop a novel analytical scheme for computing scalar fluctuations based on the δN formalism, which allows us to deal with the evolution of curvaton with polynomial potential more accurately in comparison to the existing analytical methods.
{"title":"Unified origin of curvature perturbation and baryon asymmetry of the universe","authors":"Anish Ghoshal, Abhishek Naskar, Nobuchika Okada","doi":"10.1007/JHEP01(2026)082","DOIUrl":"10.1007/JHEP01(2026)082","url":null,"abstract":"<p>We propose a unified framework that describes both the curvaton mechanism for generating primordial density fluctuations and the Affleck-Dine (AD) mechanism for baryogenesis. By introducing a complex scalar field (AD field) carrying a baryon/lepton number and its potential consisting of quadratic and quartic terms with a small baryon/lepton-number-violating mass term, we investigate the evolution of the scalar field during the radiation-dominated era following inflation. We set the initial conditions such that the quartic term dominates the scalar potential, and the angular component of the AD field is non-zero. We focus on a scenario where the AD field sufficiently dominates the energy density of the universe before its decay. We show that the radial component of the AD field can be identified with the curvaton to solely produce the Planck normalized scalar power spectrum while the evolution of the angular component is crucial for generating the observed baryon asymmetry of the universe. Additionally, we find that the amplitude of scalar bispectrum <i>f</i><sub><i>NL</i></sub> is negative, which is consistent with the current Planck data and testable in future observations such as CMB-S4, LiteBIRD, LSS, and 21-cm experiments. In our estimation of the scalar power spectrum and bispectrum, we develop a novel analytical scheme for computing scalar fluctuations based on the <i>δN</i> formalism, which allows us to deal with the evolution of curvaton with polynomial potential more accurately in comparison to the existing analytical methods.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2026 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2026-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP01(2026)082.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}