David Dudal, Aaron Gobeyn, Bruno W. Mintz, Thomas Oosthuyse, Sebbe Stouten
We reconsider four-dimensional scalar field theory in presence of Robin boundary conditions on two parallel plates. These boundary conditions are directly imposed in the path integral definition of the theory via auxiliary fields living on the plates. We discuss how this leads to boundary corrections to the standard energy momentum tensor operator. Via a dimensional reduction to an effective three-dimensional boundary theory, we compute the Casimir energy in terms of the plate separation and the two Robin parameters, as well as the scalar field propagator in the presence of the plates. Coincidentally, the boundary contribution vanishes in the expectation value for the vacuum energy, thereby giving results in full accordance with other energy expressions in the literature for the same setup. We also discuss for which values of the Robin parameters this energy is real-valued.
{"title":"Scalar field theory under Robin boundary conditions: two-point function and energy-momentum tensor","authors":"David Dudal, Aaron Gobeyn, Bruno W. Mintz, Thomas Oosthuyse, Sebbe Stouten","doi":"arxiv-2409.07060","DOIUrl":"https://doi.org/arxiv-2409.07060","url":null,"abstract":"We reconsider four-dimensional scalar field theory in presence of Robin\u0000boundary conditions on two parallel plates. These boundary conditions are\u0000directly imposed in the path integral definition of the theory via auxiliary\u0000fields living on the plates. We discuss how this leads to boundary corrections\u0000to the standard energy momentum tensor operator. Via a dimensional reduction to\u0000an effective three-dimensional boundary theory, we compute the Casimir energy\u0000in terms of the plate separation and the two Robin parameters, as well as the\u0000scalar field propagator in the presence of the plates. Coincidentally, the\u0000boundary contribution vanishes in the expectation value for the vacuum energy,\u0000thereby giving results in full accordance with other energy expressions in the\u0000literature for the same setup. We also discuss for which values of the Robin\u0000parameters this energy is real-valued.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A formulation of discrete gravity was recently proposed based on defining a lattice and a shift operator connecting the cells. Spinors on such a space will have rotational SO(d) invariance which is taken as the fundamental symmetry. Inspired by lattice QCD, discrete analogues of curvature and torsion were defined that go smoothly to the corresponding tensors in the continuous limit. In this paper, we show that the absence of diffeomorphism invariance could be replaced by requiring translational invariance in the tangent space by enlarging the tangent space from SO(d) to the inhomogeneous Lorentz group ISO(d) to include translations. We obtain the ISO(d) symmetry by taking instead the Lie group SO(d + 1) and to perform on it Inonu-Wigner contraction. We show that, just as for continuous spaces, the zero torsion constraint converts the translational parameter to a diffeomorphism parameter, thus explaining the effectiveness of this formulation.
{"title":"Poincare Invariance in Discrete Gravity","authors":"Ali H. Chamseddine, Mariam Khaldieh","doi":"arxiv-2409.07536","DOIUrl":"https://doi.org/arxiv-2409.07536","url":null,"abstract":"A formulation of discrete gravity was recently proposed based on defining a\u0000lattice and a shift operator connecting the cells. Spinors on such a space will\u0000have rotational SO(d) invariance which is taken as the fundamental symmetry.\u0000Inspired by lattice QCD, discrete analogues of curvature and torsion were\u0000defined that go smoothly to the corresponding tensors in the continuous limit.\u0000In this paper, we show that the absence of diffeomorphism invariance could be\u0000replaced by requiring translational invariance in the tangent space by\u0000enlarging the tangent space from SO(d) to the inhomogeneous Lorentz group\u0000ISO(d) to include translations. We obtain the ISO(d) symmetry by taking instead\u0000the Lie group SO(d + 1) and to perform on it Inonu-Wigner contraction. We show\u0000that, just as for continuous spaces, the zero torsion constraint converts the\u0000translational parameter to a diffeomorphism parameter, thus explaining the\u0000effectiveness of this formulation.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"106 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175971","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study the conformal field theory data (CFT-data) of planar 4D $mathcal{N} = 4$ Super-Yang-Mills theory in the strong 't Hooft coupling limit. This regime explores the physics of massive short strings in the flat-space limit of the dual AdS. We focus on the CFT-data of the massive short strings exchanged in the operator product expansion (OPE) of the four-point function dual to the Virasoro-Shapiro amplitude. This CFT-data arranges itself into Regge trajectories in the flat-space limit. Using inputs from recent advances in the computation of the AdS Virasoro-Shapiro amplitude, integrability, and a stipulation based on analyticity of the CFT-data in spin, we are able to fix all the CFT-data on the four unique sub-leading Regge trajectories, at leading non-trivial order, as a function of the string-mass level. One of our predictions is that one of the four unique sub-leading Regge trajectories decouples from the OPE in the flat-space limit. This hints at an emergent selection rule in the flat-space limit, similar to our previous results in arXiv:2310.06041. Our procedure should be applicable in a variety of similar setups like for the AdS Veneziano amplitude or in ABJM.
{"title":"Unmixing sub-leading Regge trajectories of $mathcal{N} = 4$ Super-Yang-Mills","authors":"Julius Julius, Nika Sergeevna Sokolova","doi":"arxiv-2409.07529","DOIUrl":"https://doi.org/arxiv-2409.07529","url":null,"abstract":"We study the conformal field theory data (CFT-data) of planar 4D $mathcal{N}\u0000= 4$ Super-Yang-Mills theory in the strong 't Hooft coupling limit. This regime\u0000explores the physics of massive short strings in the flat-space limit of the\u0000dual AdS. We focus on the CFT-data of the massive short strings exchanged in\u0000the operator product expansion (OPE) of the four-point function dual to the\u0000Virasoro-Shapiro amplitude. This CFT-data arranges itself into Regge\u0000trajectories in the flat-space limit. Using inputs from recent advances in the\u0000computation of the AdS Virasoro-Shapiro amplitude, integrability, and a\u0000stipulation based on analyticity of the CFT-data in spin, we are able to fix\u0000all the CFT-data on the four unique sub-leading Regge trajectories, at leading\u0000non-trivial order, as a function of the string-mass level. One of our\u0000predictions is that one of the four unique sub-leading Regge trajectories\u0000decouples from the OPE in the flat-space limit. This hints at an emergent\u0000selection rule in the flat-space limit, similar to our previous results in\u0000arXiv:2310.06041. Our procedure should be applicable in a variety of similar\u0000setups like for the AdS Veneziano amplitude or in ABJM.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We consider a Bianchi I geometry of the Universe. We obtain a cosmic shear expression related with the eccentricity of the Universe. In particular we study the connection among cosmic shear, eccentricity and CMB. The equation are self-contained with only two parameters.
我们考虑宇宙的比安奇 I 几何结构。我们得到了与宇宙偏心率相关的宇宙剪切力表达式。我们特别研究了宇宙剪切力、偏心率和 CMB 之间的联系。方程自含两个参数。
{"title":"Ellipsoidal Universe and Cosmic Shear","authors":"Luigi Tedesco","doi":"arxiv-2409.07509","DOIUrl":"https://doi.org/arxiv-2409.07509","url":null,"abstract":"We consider a Bianchi I geometry of the Universe. We obtain a cosmic shear\u0000expression related with the eccentricity of the Universe. In particular we\u0000study the connection among cosmic shear, eccentricity and CMB. The equation are\u0000self-contained with only two parameters.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We investigate the retarded Green's function and the greybody factor in asymptotically AdS black holes. Using the connection coefficients of the Heun equation, expressed in terms of the Nekrasov-Shatashvili (NS) free energy of an $SU(2)$ supersymmetric gauge theory with four fundamental hypermultiplets, we derive asymptotic expansions for both the retarded Green's function and the greybody factor in the small horizon limit. Furthermore, we compute the corrections to these asymptotic expansions resulting from the resummation procedure of the instanton part of the NS function.
{"title":"The effect of resummation on retarded Green's function and greybody factor in $AdS$ black holes","authors":"Julián Barragán Amado, Shankhadeep Chakrabortty, Arpit Maurya","doi":"arxiv-2409.07370","DOIUrl":"https://doi.org/arxiv-2409.07370","url":null,"abstract":"We investigate the retarded Green's function and the greybody factor in\u0000asymptotically AdS black holes. Using the connection coefficients of the Heun\u0000equation, expressed in terms of the Nekrasov-Shatashvili (NS) free energy of an\u0000$SU(2)$ supersymmetric gauge theory with four fundamental hypermultiplets, we\u0000derive asymptotic expansions for both the retarded Green's function and the\u0000greybody factor in the small horizon limit. Furthermore, we compute the\u0000corrections to these asymptotic expansions resulting from the resummation\u0000procedure of the instanton part of the NS function.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Batoul Banihashemi, Edgar Shaghoulian, Sanjit Shashi
We study the thermodynamics of Einstein gravity with vanishing cosmological constant subjected to conformal boundary conditions. Our focus is on comparing the series of subextensive terms to predictions from thermal effective field theory, with which we find agreement for the boundary theory on a spatial sphere, hyperbolic space, and flat space. We calculate the leading Wilson coefficients and observe that the first subextensive correction to the free energy is negative. This violates a conjectured bound on this coefficient in quantum field theory, which we interpret as a signal that gravity does not fully decouple in the putative boundary dual.
{"title":"Flat space gravity at finite cutoff","authors":"Batoul Banihashemi, Edgar Shaghoulian, Sanjit Shashi","doi":"arxiv-2409.07643","DOIUrl":"https://doi.org/arxiv-2409.07643","url":null,"abstract":"We study the thermodynamics of Einstein gravity with vanishing cosmological\u0000constant subjected to conformal boundary conditions. Our focus is on comparing\u0000the series of subextensive terms to predictions from thermal effective field\u0000theory, with which we find agreement for the boundary theory on a spatial\u0000sphere, hyperbolic space, and flat space. We calculate the leading Wilson\u0000coefficients and observe that the first subextensive correction to the free\u0000energy is negative. This violates a conjectured bound on this coefficient in\u0000quantum field theory, which we interpret as a signal that gravity does not\u0000fully decouple in the putative boundary dual.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142175969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In the context of high-energy particle physics, a reliable theory-experiment confrontation requires precise theoretical predictions. This translates into accessing higher-perturbative orders, and when we pursue this objective, we inevitably face the presence of complicated multi-loop Feynman integrals. There are serious bottlenecks to compute them with classical tools: the time to explore novel technologies has arrived. In this work, we study the implementation of quantum algorithms to optimize the integrands of scattering amplitudes. Our approach relies on the manifestly causal Loop-Tree Duality (LTD), which re-casts the loop integrand into phase-space integrals and avoids spurious non-physical singularities. Then, we codify this information in such a way that a quantum computer can understand the problem, and build Hamiltonians whose ground state are directly related to the causal representation. Promising results for generic families of multi-loop topologies are presented.
{"title":"From Feynman integrals to quantum algorithms: the Loop-Tree Duality connection","authors":"German Sborlini","doi":"arxiv-2409.07252","DOIUrl":"https://doi.org/arxiv-2409.07252","url":null,"abstract":"In the context of high-energy particle physics, a reliable theory-experiment\u0000confrontation requires precise theoretical predictions. This translates into\u0000accessing higher-perturbative orders, and when we pursue this objective, we\u0000inevitably face the presence of complicated multi-loop Feynman integrals. There\u0000are serious bottlenecks to compute them with classical tools: the time to\u0000explore novel technologies has arrived. In this work, we study the\u0000implementation of quantum algorithms to optimize the integrands of scattering\u0000amplitudes. Our approach relies on the manifestly causal Loop-Tree Duality\u0000(LTD), which re-casts the loop integrand into phase-space integrals and avoids\u0000spurious non-physical singularities. Then, we codify this information in such a\u0000way that a quantum computer can understand the problem, and build Hamiltonians\u0000whose ground state are directly related to the causal representation. Promising\u0000results for generic families of multi-loop topologies are presented.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176024","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This study investigates the universal relation between Goon and Penco (GP) proposed within the frameworks of Power-Maxwell, Power-Yang-Mills, and Maxwell-Power-Yang-Mills black holes. We begin by analyzing these black holes' thermodynamics and then calculating the perturbed metric and thermodynamic quantities by perturbing the action. Our objective is to examine the consistency of the GP relation across various power-law terms in the field equations, aiming to gain deeper insights into the nature of these black holes. The GP connection remains robust across different power spacetimes, indicating that this relation is a universal feature of black holes.
{"title":"Thermodynamic Extremality in Power-law AdS Black Holes A Universal Perspective","authors":"Ankit Anand","doi":"arxiv-2409.07079","DOIUrl":"https://doi.org/arxiv-2409.07079","url":null,"abstract":"This study investigates the universal relation between Goon and Penco (GP)\u0000proposed within the frameworks of Power-Maxwell, Power-Yang-Mills, and\u0000Maxwell-Power-Yang-Mills black holes. We begin by analyzing these black holes'\u0000thermodynamics and then calculating the perturbed metric and thermodynamic\u0000quantities by perturbing the action. Our objective is to examine the\u0000consistency of the GP relation across various power-law terms in the field\u0000equations, aiming to gain deeper insights into the nature of these black holes.\u0000The GP connection remains robust across different power spacetimes, indicating\u0000that this relation is a universal feature of black holes.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176018","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We perform a study to obtain the initial spin or the nondimensional Kerr parameter $a_{*}$ of primordial black holes (PBHs) created during the radiation dominated phase of the universe from not only nearly monochromatic but also broad curvature power spectra. Motivated by inflation and first-order phase transitions, we consider a power law shape for the curvature perturbation. Although we can naturally neglect the contribution from the length scales smaller than the scale of interest, that from the larger scales may potentially be significant for a broad power spectrum, for which the spin is sensitive to the width of the power spectrum. So, we introduce a width parameter $r_{k}$, the ratio of the largest scale to the length of interest. We find that the root mean square of $a_{*}$ is largest for PBHs created from locally nearly scale invariant curvature power spectra with $r_{k} sim 3.5$. The upper limit is $sim 1times 10^{-4}$ for $M=10^{17}-10^{23}$ g, $sim 1.7times 10^{-4}$ for $M=1-100 M_{odot}$ and $sim 2.5times 10^{-3}$ even for an incredibly large mass of $M=10^{50}$ g.
{"title":"Spin of Primordial Black Holes from Broad Power Spectrum: Radiation Dominated Universe","authors":"Indra Kumar Banerjee, Tomohiro Harada","doi":"arxiv-2409.06494","DOIUrl":"https://doi.org/arxiv-2409.06494","url":null,"abstract":"We perform a study to obtain the initial spin or the nondimensional Kerr\u0000parameter $a_{*}$ of primordial black holes (PBHs) created during the radiation\u0000dominated phase of the universe from not only nearly monochromatic but also\u0000broad curvature power spectra. Motivated by inflation and first-order phase\u0000transitions, we consider a power law shape for the curvature perturbation.\u0000Although we can naturally neglect the contribution from the length scales\u0000smaller than the scale of interest, that from the larger scales may potentially\u0000be significant for a broad power spectrum, for which the spin is sensitive to\u0000the width of the power spectrum. So, we introduce a width parameter $r_{k}$,\u0000the ratio of the largest scale to the length of interest. We find that the root\u0000mean square of $a_{*}$ is largest for PBHs created from locally nearly scale\u0000invariant curvature power spectra with $r_{k} sim 3.5$. The upper limit is\u0000$sim 1times 10^{-4}$ for $M=10^{17}-10^{23}$ g, $sim 1.7times 10^{-4}$ for $M=1-100 M_{odot}$ and $sim 2.5times 10^{-3}$\u0000even for an incredibly large mass of $M=10^{50}$ g.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Johanna Erdmenger, Ioannis Matthaiakakis, René Meyer, Dmitri Vassilevich
There exists a long-standing debate regarding the torsion contribution to the 4d chiral anomaly of a Dirac fermion. Central to this debate is the Nieh-Yan anomaly, which has been considered ill-defined and a regularization artifact. Using a heat-kernel approach, we examine the relationship between the Dirac operator index, the Nieh-Yan invariant and the torsional anomaly. We show the Nieh-Yan invariant vanishes on spacetimes without boundaries, if the Dirac index is well-defined. In the known examples of non-vanishing Nieh--Yan invariant on manifolds without boundaries, the heat kernel expansion breaks down, making the index ill-defined. Finally, for finite boundaries we identify several finite bulk and boundary anomaly terms, alongside bulk and boundary Nieh-Yan terms. We construct explicit counterterms that cancel the Nieh-Yan terms and argue that the boundary terms give rise to a torsional anomalous Hall effect. Our results emphasize the importance of renormalization conditions, as these can affect both the thermal and non-thermal Nieh-Yan anomaly coefficients. In addition, we demonstrate that anomalous torsional transport may arise even without relying on the Nieh-Yan invariant.
{"title":"The chiral torsional anomaly and the Nieh-Yan invariant with and without boundaries","authors":"Johanna Erdmenger, Ioannis Matthaiakakis, René Meyer, Dmitri Vassilevich","doi":"arxiv-2409.06766","DOIUrl":"https://doi.org/arxiv-2409.06766","url":null,"abstract":"There exists a long-standing debate regarding the torsion contribution to the\u00004d chiral anomaly of a Dirac fermion. Central to this debate is the Nieh-Yan\u0000anomaly, which has been considered ill-defined and a regularization artifact.\u0000Using a heat-kernel approach, we examine the relationship between the Dirac\u0000operator index, the Nieh-Yan invariant and the torsional anomaly. We show the\u0000Nieh-Yan invariant vanishes on spacetimes without boundaries, if the Dirac\u0000index is well-defined. In the known examples of non-vanishing Nieh--Yan\u0000invariant on manifolds without boundaries, the heat kernel expansion breaks\u0000down, making the index ill-defined. Finally, for finite boundaries we identify\u0000several finite bulk and boundary anomaly terms, alongside bulk and boundary\u0000Nieh-Yan terms. We construct explicit counterterms that cancel the Nieh-Yan\u0000terms and argue that the boundary terms give rise to a torsional anomalous Hall\u0000effect. Our results emphasize the importance of renormalization conditions, as\u0000these can affect both the thermal and non-thermal Nieh-Yan anomaly\u0000coefficients. In addition, we demonstrate that anomalous torsional transport\u0000may arise even without relying on the Nieh-Yan invariant.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176022","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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