The quantum vacuum interaction energy between a pair of semitransparent two-dimensional plates represented by Dirac delta potentials and its first derivative, embedded in the topological background of a sine-Gordon kink, is studied through an extension of the TGTG-formula (developped by O. Kenneth and I. Klich in the scattering approach). Quantum vacuum oscillations around the sine-Gordon kink solutions are interpreted as a quantum scalar field theory in the spacetime of a domain wall. Moreover, the relation between the phase shift and the density of states (the well-known Dashen-Hasslacher-Neveu formula) is also exploited to characterize the quantum vacuum energy.
通过 TGTG 公式（由 O. Kenneth 和 I. Klich 在散射方法中开发）的扩展，研究了一对由狄拉克三角势及其一阶导数表示的半透明二维板之间的量子真空相互作用能，该相互作用能嵌入正弦-戈登扭结的拓扑背景中。正弦-戈登扭结解周围的量子真空振荡被解释为域壁时空中的量子标量场理论。此外，我们还利用相移与状态密度之间的关系（著名的达申-哈斯拉赫-奈维乌公式）来描述量子真空能量。
{"title":"Casimir energy through transfer operators for sine-Gordon backgrounds","authors":"Lucía Santamaría-Sanz","doi":"10.1093/ptep/ptae059","DOIUrl":"https://doi.org/10.1093/ptep/ptae059","url":null,"abstract":"The quantum vacuum interaction energy between a pair of semitransparent two-dimensional plates represented by Dirac delta potentials and its first derivative, embedded in the topological background of a sine-Gordon kink, is studied through an extension of the TGTG-formula (developped by O. Kenneth and I. Klich in the scattering approach). Quantum vacuum oscillations around the sine-Gordon kink solutions are interpreted as a quantum scalar field theory in the spacetime of a domain wall. Moreover, the relation between the phase shift and the density of states (the well-known Dashen-Hasslacher-Neveu formula) is also exploited to characterize the quantum vacuum energy.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140626713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A statistical framework in conjugation with the principle of detailed balance is employed to examine the low-energy properties i.e. charge radii and quadrupole moment of JP=$frac{1}{2}^+$ octet and JP=$frac{3}{2}^+$ decuplet baryons. The statistical model relies on the assumption that the baryons can be expanded in terms of quark-gluon Fock states. We systematically apply operator formalism along with the statistical approach to study the charge radii and quadrupole moment of baryons. Based on the probabilities of all possible Fock states in spin, flavor and color space, the importance of sea with quarks and gluons is studied. The individual contribution of the constituent quarks and sea (scalar, vector and tensor sea) is explored. Due to large mass difference between strange and non-strange content, the SU(3) breaking effect are also investigated. The extent to which strange $qbar{q}$ pairs is considered in sea is constrained by the mass of hadrons and the free energy of gluons, in accordance with experimental evidence. We focus on the individual contribution of strange and non-strange sea ($g, langle ubar{u}rangle$, $langle dbar{d}rangle$ and $langle sbar{s}rangle$) accomodability in the respective hadrons for their charge radii and quadrupole moment. The present work has been compared with various theoretical approaches and some known experimental observations. The obtained results may give valuable information for upcoming experimental findings.
{"title":"Importance of strange sea to the charge radii and quadrupole moment of JP = 1/2+, 3/2+ baryons","authors":"Preeti Bhall, A Upadhyay","doi":"10.1093/ptep/ptae060","DOIUrl":"https://doi.org/10.1093/ptep/ptae060","url":null,"abstract":"A statistical framework in conjugation with the principle of detailed balance is employed to examine the low-energy properties i.e. charge radii and quadrupole moment of JP=$frac{1}{2}^+$ octet and JP=$frac{3}{2}^+$ decuplet baryons. The statistical model relies on the assumption that the baryons can be expanded in terms of quark-gluon Fock states. We systematically apply operator formalism along with the statistical approach to study the charge radii and quadrupole moment of baryons. Based on the probabilities of all possible Fock states in spin, flavor and color space, the importance of sea with quarks and gluons is studied. The individual contribution of the constituent quarks and sea (scalar, vector and tensor sea) is explored. Due to large mass difference between strange and non-strange content, the SU(3) breaking effect are also investigated. The extent to which strange $qbar{q}$ pairs is considered in sea is constrained by the mass of hadrons and the free energy of gluons, in accordance with experimental evidence. We focus on the individual contribution of strange and non-strange sea ($g, langle ubar{u}rangle$, $langle dbar{d}rangle$ and $langle sbar{s}rangle$) accomodability in the respective hadrons for their charge radii and quadrupole moment. The present work has been compared with various theoretical approaches and some known experimental observations. The obtained results may give valuable information for upcoming experimental findings.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140626605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This writeup follows the presentation at the Symposium, with emphasis on topics and ideas discussed there. It is purposefully informal, not a review of the field, and neither does it include a complete list of references. However, I hope that readers might find some comments useful or amusing, and may appreciate the challenges and reasons for excitement about recent progress and future opportunities in flavor physics.
{"title":"On magnitudes of some CKM matrix elements","authors":"Zoltan Ligeti","doi":"10.1093/ptep/ptae057","DOIUrl":"https://doi.org/10.1093/ptep/ptae057","url":null,"abstract":"This writeup follows the presentation at the Symposium, with emphasis on topics and ideas discussed there. It is purposefully informal, not a review of the field, and neither does it include a complete list of references. However, I hope that readers might find some comments useful or amusing, and may appreciate the challenges and reasons for excitement about recent progress and future opportunities in flavor physics.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140562482","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We argue that Lee-Wick’s complex ghost appearing in any higher derivative theory is stable and its asymptotic field exists. It may be more appropriate to call it “anti-unstable” in the sense that, the more the ghost ‘decays’ into lighter ordinary particles, the larger the probability the ghost remains as itself becomes. This is explicitly shown by analyzing the two-point functions of the ghost Heisenberg field which is obtained as an exact result in the N → ∞ limit in a massive scalar ghost theory with light O(N)-vector scalar matter. The anti-instability is a consequence of the fact that the poles of the complex ghost propagator are located on the physical sheet in the complex plane of four-momentum squared. This should be contrasted to the case of the ordinary unstable particle, whose propagator has no pole on the physical sheet.
{"title":"Anti-Instability of Complex Ghost","authors":"Jisuke Kubo, Taichiro Kugo","doi":"10.1093/ptep/ptae053","DOIUrl":"https://doi.org/10.1093/ptep/ptae053","url":null,"abstract":"We argue that Lee-Wick’s complex ghost appearing in any higher derivative theory is stable and its asymptotic field exists. It may be more appropriate to call it “anti-unstable” in the sense that, the more the ghost ‘decays’ into lighter ordinary particles, the larger the probability the ghost remains as itself becomes. This is explicitly shown by analyzing the two-point functions of the ghost Heisenberg field which is obtained as an exact result in the N → ∞ limit in a massive scalar ghost theory with light O(N)-vector scalar matter. The anti-instability is a consequence of the fact that the poles of the complex ghost propagator are located on the physical sheet in the complex plane of four-momentum squared. This should be contrasted to the case of the ordinary unstable particle, whose propagator has no pole on the physical sheet.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140562374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We measure the decay time and the attenuation length of newly developed wavelength-shifting fibers, YS series from Kuraray, which have fast response. Using a 405 nm laser, the decay times of the YS-2, 4, and 6 are measured to be 3.64 ± 0.04 ns, 2.15 ± 0.03 ns, and 1.47 ± 0.02 ns, respectively, for the light injection distance of 10 cm. The decay time of Y-11 is measured to be 7.10 ± 0.09 ns using the same system. All fibers are found to have similar attenuation lengths of more than 4 meters. When combined with the plastic scintillators EJ-200 and EJ-204, the YS series have better time resolution than Y-11, with light yields of 60–100% of Y-11.
{"title":"Performance of new Kuraray wavelength-shifting fibers with short decay time","authors":"Shoma Kodama, Hokuto Kobayashi, Wataru Okinaga, Kota Nakagiri, Yasuhiro Nakajima, Masashi Yokoyama","doi":"10.1093/ptep/ptae055","DOIUrl":"https://doi.org/10.1093/ptep/ptae055","url":null,"abstract":"We measure the decay time and the attenuation length of newly developed wavelength-shifting fibers, YS series from Kuraray, which have fast response. Using a 405 nm laser, the decay times of the YS-2, 4, and 6 are measured to be 3.64 ± 0.04 ns, 2.15 ± 0.03 ns, and 1.47 ± 0.02 ns, respectively, for the light injection distance of 10 cm. The decay time of Y-11 is measured to be 7.10 ± 0.09 ns using the same system. All fibers are found to have similar attenuation lengths of more than 4 meters. When combined with the plastic scintillators EJ-200 and EJ-204, the YS series have better time resolution than Y-11, with light yields of 60–100% of Y-11.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140562483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Poisson–Lie T-duality/plurality was recently generalized to Jacobi–Lie T-plurality formulated in terms of Double Field Theory and based on Leibniz algebras given by structure coefficients fabc, fcab, and Za, Za. We investigate three- and four-dimensional sigma models corresponding to six-dimensional Leibniz algebras with fbba ≠ 0, Za = 0. We show that these algebras are plural one to another and, moreover, to an algebra with fbba = 0, Za = 0. These pluralities are used for construction of Jacobi–Lie models. It was conjectured that plural models should satisfy Generalized Supergravity Equations. We have found examples of models satisfy Generalized Supergravity Equations where no trivialization to usual Supergravity Equations is possible. On the other hand, we show that there are also models corresponding to algebras with fbba ≠ 0, Za = 0 where the Killing vector appearing in Generalized Supergravity Equations either vanishes or can be removed by suitable gauge transformation. Such models then satisfy usual Supergravity Equations, i.e. vanishing beta function equations.
Poisson-Lie T-duality/plurality 最近被概括为 Jacobi-Lie T-plurality ，它是以双场理论（Double Field Theory）为基础、由结构系数 fabc、fcab 和 Za、Za 给定的莱布尼兹代数（Leibniz algebras）来表述的。我们研究了与 fbba ≠ 0, Za = 0 的六维莱布尼兹代数对应的三维和四维西格玛模型。我们证明这些代数彼此是复数，而且与 fbba = 0, Za = 0 的代数也是复数。有人猜想，复数模型应该满足广义超引力方程。我们发现了一些模型满足广义超引力方程的例子，而这些模型不可能微分到通常的超引力方程。另一方面，我们证明了还有一些模型对应于 fbba ≠ 0, Za = 0 的代数方程，其中广义超引力方程中出现的基林向量要么消失，要么可以通过适当的量规变换去除。这样的模型满足通常的超引力方程，即消失的贝塔函数方程。
{"title":"Jacobi–Lie Models and Supergravity Equations","authors":"Ladislav Hlavatý, Ivo Petr","doi":"10.1093/ptep/ptae054","DOIUrl":"https://doi.org/10.1093/ptep/ptae054","url":null,"abstract":"Poisson–Lie T-duality/plurality was recently generalized to Jacobi–Lie T-plurality formulated in terms of Double Field Theory and based on Leibniz algebras given by structure coefficients fabc, fcab, and Za, Za. We investigate three- and four-dimensional sigma models corresponding to six-dimensional Leibniz algebras with fbba ≠ 0, Za = 0. We show that these algebras are plural one to another and, moreover, to an algebra with fbba = 0, Za = 0. These pluralities are used for construction of Jacobi–Lie models. It was conjectured that plural models should satisfy Generalized Supergravity Equations. We have found examples of models satisfy Generalized Supergravity Equations where no trivialization to usual Supergravity Equations is possible. On the other hand, we show that there are also models corresponding to algebras with fbba ≠ 0, Za = 0 where the Killing vector appearing in Generalized Supergravity Equations either vanishes or can be removed by suitable gauge transformation. Such models then satisfy usual Supergravity Equations, i.e. vanishing beta function equations.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140562469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The Worldvolume Hybrid Monte Carlo method (WV-HMC method) [arXiv:2012.08468] is a reliable and versatile algorithm towards solving the sign problem. Similarly to the tempered Lefschetz thimble method, this method removes the ergodicity problem inherent in algorithms based on Lefschetz thimbles. In addition to this advantage, the WV-HMC method significantly reduces the computational cost because one needs not compute the Jacobian of deformation in generating configurations. A crucial step in this method is the RATTLE algorithm, where the Newton method is used at each molecular dynamics step to project a transported configuration onto a submanifold (worldvolume) in the complex space. In this paper, we simplify the RATTLE algorithm by employing a simplified Newton method (the fixed-point method) along with iterative solvers for orthogonal decompositions of vectors, and show that this algorithm further reduces the computational cost. We also apply this algorithm to the HMC algorithm for the generalized thimble method (GT-HMC method). We perform a numerical test for the convergence of the simplified RATTLE algorithm, and show that the convergence depends on the system size only weakly. The application of this simplified algorithm to various models will be reported in subsequent papers.
{"title":"Simplified algorithm for the Worldvolume HMC and the Generalized-thimble HMC","authors":"Masafumi Fukuma","doi":"10.1093/ptep/ptae051","DOIUrl":"https://doi.org/10.1093/ptep/ptae051","url":null,"abstract":"The Worldvolume Hybrid Monte Carlo method (WV-HMC method) [arXiv:2012.08468] is a reliable and versatile algorithm towards solving the sign problem. Similarly to the tempered Lefschetz thimble method, this method removes the ergodicity problem inherent in algorithms based on Lefschetz thimbles. In addition to this advantage, the WV-HMC method significantly reduces the computational cost because one needs not compute the Jacobian of deformation in generating configurations. A crucial step in this method is the RATTLE algorithm, where the Newton method is used at each molecular dynamics step to project a transported configuration onto a submanifold (worldvolume) in the complex space. In this paper, we simplify the RATTLE algorithm by employing a simplified Newton method (the fixed-point method) along with iterative solvers for orthogonal decompositions of vectors, and show that this algorithm further reduces the computational cost. We also apply this algorithm to the HMC algorithm for the generalized thimble method (GT-HMC method). We perform a numerical test for the convergence of the simplified RATTLE algorithm, and show that the convergence depends on the system size only weakly. The application of this simplified algorithm to various models will be reported in subsequent papers.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140597977","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We revisit the low-energy K+N elastic scatterings in the context of the in-medium quark condensate with strange quarks. The chiral ward identity connects the in-medium quark condensate to the soft limit value of the pseudoscalar correlation function evaluated in nuclear matter. The in-medium correlation function of the psuedoscalar fields with strangeness describes in-medium kaon propagation and is obtained by kaon-nucleon scattering amplitudes in the low density approximation. We construct the kaon-nucleon scattering amplitudes in chiral perturbation theory up to the next-to-leading order and add some terms of the next-to-next-to-leading order with the strange quark mass to improve expansion of the strange quark sector. We also consider the effect of a possible broad resonance state around Plab = 600 MeV/c for I = 0 reported in the previous study. The low energy constants are determined by existent K+N scattering data. We obtain good reproduction of the K+p scattering amplitude by chiral perturbation theory, while the description of the KN amplitude with I = 0 is not so satisfactory due to the lack of low energy data. Performing analytic continuation of the scattering amplitudes obtained by chiral perturbation theory to the soft limit, we estimate the in-medium strange quark condensate.
{"title":"K + N elastic scatterings for estimation of in-medium quark condensate with strange quarks","authors":"Yutaro Iizawa, Daisuke Jido, Stephan Hübsch","doi":"10.1093/ptep/ptae050","DOIUrl":"https://doi.org/10.1093/ptep/ptae050","url":null,"abstract":"We revisit the low-energy K+N elastic scatterings in the context of the in-medium quark condensate with strange quarks. The chiral ward identity connects the in-medium quark condensate to the soft limit value of the pseudoscalar correlation function evaluated in nuclear matter. The in-medium correlation function of the psuedoscalar fields with strangeness describes in-medium kaon propagation and is obtained by kaon-nucleon scattering amplitudes in the low density approximation. We construct the kaon-nucleon scattering amplitudes in chiral perturbation theory up to the next-to-leading order and add some terms of the next-to-next-to-leading order with the strange quark mass to improve expansion of the strange quark sector. We also consider the effect of a possible broad resonance state around Plab = 600 MeV/c for I = 0 reported in the previous study. The low energy constants are determined by existent K+N scattering data. We obtain good reproduction of the K+p scattering amplitude by chiral perturbation theory, while the description of the KN amplitude with I = 0 is not so satisfactory due to the lack of low energy data. Performing analytic continuation of the scattering amplitudes obtained by chiral perturbation theory to the soft limit, we estimate the in-medium strange quark condensate.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140597957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The Pauli-Villars regularization is appropriate to discuss the UV sensitivity of low-energy observables because it mimics how the contributions of new particles at high energies cancel large quantum corrections from the light particles in the effective field theory. We discuss the UV sensitivity of the Casimir energy density and pressure in an extra-dimensional model in this regularization scheme, and clarify the condition on the regulator fields to preserve the Lorentz symmetry of the vacuum state. Some of the conditions are automatically satisfied in spontaneously-broken supersymmetric models, but supersymmetry is not enough to ensure the Lorentz symmetry. We show that the necessary regulators can be introduced as bulk fields. We also evaluate the Casimir energy density with such regulators, and its deviation from the result obtained in the analytic regularization.
{"title":"Pauli-Villars regularization of Kaluza-Klein Casimir energy with Lorentz symmetry","authors":"Hiroki Matsui, Yutaka Sakamura","doi":"10.1093/ptep/ptae048","DOIUrl":"https://doi.org/10.1093/ptep/ptae048","url":null,"abstract":"The Pauli-Villars regularization is appropriate to discuss the UV sensitivity of low-energy observables because it mimics how the contributions of new particles at high energies cancel large quantum corrections from the light particles in the effective field theory. We discuss the UV sensitivity of the Casimir energy density and pressure in an extra-dimensional model in this regularization scheme, and clarify the condition on the regulator fields to preserve the Lorentz symmetry of the vacuum state. Some of the conditions are automatically satisfied in spontaneously-broken supersymmetric models, but supersymmetry is not enough to ensure the Lorentz symmetry. We show that the necessary regulators can be introduced as bulk fields. We also evaluate the Casimir energy density with such regulators, and its deviation from the result obtained in the analytic regularization.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140597961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Hiroaki W H Tahara, Kazufumi Takahashi, Masato Minamitsuji, Hayato Motohashi
It has recently been pointed out that one can construct invertible conformal transformations with a parity-violating conformal factor, which can be employed to generate a novel class of parity-violating ghost-free metric theories from general relativity. We obtain exact solutions for rotating black holes in such theories by performing the conformal transformation on the Kerr solution in general relativity, which we dub conformal Kerr solutions. We explore the geodesic motion of a test particle in the conformal Kerr spacetime. While null geodesics remain the same as those in the Kerr spacetime, timelike geodesics exhibit interesting differences due to an effective external force caused by the parity-violating conformal factor.
{"title":"Exact solution for rotating black holes in parity-violating gravity","authors":"Hiroaki W H Tahara, Kazufumi Takahashi, Masato Minamitsuji, Hayato Motohashi","doi":"10.1093/ptep/ptae046","DOIUrl":"https://doi.org/10.1093/ptep/ptae046","url":null,"abstract":"It has recently been pointed out that one can construct invertible conformal transformations with a parity-violating conformal factor, which can be employed to generate a novel class of parity-violating ghost-free metric theories from general relativity. We obtain exact solutions for rotating black holes in such theories by performing the conformal transformation on the Kerr solution in general relativity, which we dub conformal Kerr solutions. We explore the geodesic motion of a test particle in the conformal Kerr spacetime. While null geodesics remain the same as those in the Kerr spacetime, timelike geodesics exhibit interesting differences due to an effective external force caused by the parity-violating conformal factor.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140598119","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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