We present the study of the quark sector of the universal seesaw model with $mathrm{SU(2)_L times SU(2)_R times U(1)_{Y^{prime }}}$ gauge symmetry in the massless case of the two lightest quark families. This model aims to explain the mass hierarchy of the third family quark by introducing a vector-like quark (VLQ) partner for each quark. In this model, we introduce SU(2)L and SU(2)R Higgs doublets. We derive explicitly the Lagrangian for the quark sector, Higgs sector, and kinetic terms of the gauge fields, starting from the Lagrangian, which is invariant under $mathrm{SU(2)_L times SU(2)_R times U(1)_{Y^{prime }}}$ gauge symmetry. At each stage of the symmetry breaking, we present the Lagrangian with the remaining gauge symmetry. Additionally, we investigate the flavor-changing neutral currents (FCNCs) of Higgs (h) and Z-boson in the interaction with the top, heavy top, bottom, and heavy bottom quarks.
我们介绍了在两个最轻夸克族的无质量情况下，具有 $mathrm{SU(2)_L times SU(2)_R times U(1)_{Y^{prime }}$规对称性的通用跷跷板模型的夸克部门的研究。这个模型旨在通过为每个夸克引入一个类矢量夸克（VLQ）伙伴来解释第三族夸克的质量层次。在这个模型中，我们引入了苏(2)L 和苏(2)R 希格斯双特。我们从在 $mathrm{SU(2)_L times SU(2)_R times U(1)_{Y^{prime }}$ 计对称性下不变的拉格朗日出发，明确推导出夸克扇区、希格斯扇区以及规量场的动力学项。在对称性破缺的每个阶段，我们都提出了具有剩余规对称性的拉格朗日。此外，我们还研究了希格斯（h）和 Z 玻色子在与顶、重顶、底和重底夸克相互作用时的变味中性电流（FCNCs）。
{"title":"The third family quark mass hierarchy and FCNC in the universal seesaw model","authors":"Takuya Morozumi, Albertus Hariwangsa Panuluh","doi":"10.1093/ptep/ptae127","DOIUrl":"https://doi.org/10.1093/ptep/ptae127","url":null,"abstract":"We present the study of the quark sector of the universal seesaw model with $mathrm{SU(2)_L times SU(2)_R times U(1)_{Y^{prime }}}$ gauge symmetry in the massless case of the two lightest quark families. This model aims to explain the mass hierarchy of the third family quark by introducing a vector-like quark (VLQ) partner for each quark. In this model, we introduce SU(2)L and SU(2)R Higgs doublets. We derive explicitly the Lagrangian for the quark sector, Higgs sector, and kinetic terms of the gauge fields, starting from the Lagrangian, which is invariant under $mathrm{SU(2)_L times SU(2)_R times U(1)_{Y^{prime }}}$ gauge symmetry. At each stage of the symmetry breaking, we present the Lagrangian with the remaining gauge symmetry. Additionally, we investigate the flavor-changing neutral currents (FCNCs) of Higgs (h) and Z-boson in the interaction with the top, heavy top, bottom, and heavy bottom quarks.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"7 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142213305","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}
K Mishima, G Ichikawa, Y Fuwa, T Hasegawa, M Hino, R Hosokawa, T Ino, Y Iwashita, M Kitaguchi, S Matsuzaki, T Mogi, H Okabe, T Oku, T Okudaira, Y Seki, H E Shimizu, H M Shimizu, S Takahashi, M Tanida, S Yamashita, M Yokohashi, T Yoshioka
To solve the “neutron lifetime puzzle,” where measured neutron lifetimes differ depending on the measurement methods, an experiment with pulsed neutron beam at J-PARC is in progress. In this experiment, neutrons are bunched into 40-cm lengths using a spin flip chopper (SFC), where the statistical sensitivity was limited by the aperture size of the SFC. The SFC comprises three sets of magnetic supermirrors and two resonant spin flippers. In this paper, we discuss an upgrade to enlarge the apertures of the SFC. With this upgrade, the statistics per unit time of the neutron lifetime experiment increased by a factor of 2.8, while maintaining a signal-to-noise ratio of 250–400 comparable to the previous one. Consequently, the time required to reach a precision of 1 s in the neutron lifetime experiment was reduced from 590 to 170 days, which is a significant reduction in time. This improvement in statistic will also contribute to the reduction of systematic uncertainties, such as background evaluation, fostering further advancements in the neutron lifetime experiments at J-PARC.
{"title":"Performance of the Fully-equipped Spin Flip Chopper For Neutron Lifetime Experiment at J-PARC","authors":"K Mishima, G Ichikawa, Y Fuwa, T Hasegawa, M Hino, R Hosokawa, T Ino, Y Iwashita, M Kitaguchi, S Matsuzaki, T Mogi, H Okabe, T Oku, T Okudaira, Y Seki, H E Shimizu, H M Shimizu, S Takahashi, M Tanida, S Yamashita, M Yokohashi, T Yoshioka","doi":"10.1093/ptep/ptae123","DOIUrl":"https://doi.org/10.1093/ptep/ptae123","url":null,"abstract":"To solve the “neutron lifetime puzzle,” where measured neutron lifetimes differ depending on the measurement methods, an experiment with pulsed neutron beam at J-PARC is in progress. In this experiment, neutrons are bunched into 40-cm lengths using a spin flip chopper (SFC), where the statistical sensitivity was limited by the aperture size of the SFC. The SFC comprises three sets of magnetic supermirrors and two resonant spin flippers. In this paper, we discuss an upgrade to enlarge the apertures of the SFC. With this upgrade, the statistics per unit time of the neutron lifetime experiment increased by a factor of 2.8, while maintaining a signal-to-noise ratio of 250–400 comparable to the previous one. Consequently, the time required to reach a precision of 1 s in the neutron lifetime experiment was reduced from 590 to 170 days, which is a significant reduction in time. This improvement in statistic will also contribute to the reduction of systematic uncertainties, such as background evaluation, fostering further advancements in the neutron lifetime experiments at J-PARC.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"35 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141931988","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}
Elise de Doncker, Tadashi Ishikawa, Kiyoshi Kato, Fukuko Yuasa
Four 3-loop two-point functions are studied analytically and numerically using a simplified sector decomposition method. The coefficients of the ultraviolet divergent part are determined analytically, and those of the finite part are computed numerically. The energy dependence of the integrals is shown explicitly, and a discussion of its behavior is presented.
{"title":"Analytic and Numerical Approaches for Depictive 3-loop Integrals using Sector Decomposition","authors":"Elise de Doncker, Tadashi Ishikawa, Kiyoshi Kato, Fukuko Yuasa","doi":"10.1093/ptep/ptae122","DOIUrl":"https://doi.org/10.1093/ptep/ptae122","url":null,"abstract":"Four 3-loop two-point functions are studied analytically and numerically using a simplified sector decomposition method. The coefficients of the ultraviolet divergent part are determined analytically, and those of the finite part are computed numerically. The energy dependence of the integrals is shown explicitly, and a discussion of its behavior is presented.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"77 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141931920","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}
Jared Newman, Sachiko Tsuruta, Andrew C Liebmann, Hideyo Kunieda, Yoshito Haba
Previously in Project (A) we carried out analysis of the data obtained by observations of the 1.5 Seyfert galaxy NGC 3227, the two observations performed by XMM-Newton in 2000 and 2006 and six observations by Suzaku in 2008. In the current paper, Project (B), our work was extended to joint XMM-Newton and NuSTAR observations in 2016 as well as a NuSTAR observation in 2017. In Project A a unified model was constructed. The model consists of a hard power law (ΓHard = 1.4 − 1.7) which is interpreted as the Comptonized emission from the corona above an accretion disk. In the high flux states an additional soft excess component dominates, which is consistent with either a power law (ΓSoft = 3.3 − 3.85) or warm Comptonization. These emissions are absorbed by a partial covering material and warm absorbers. A reflection component and several emission lines are also present. In Project B, the model presented in Project A was applied to more recent observations. It was found that this model remains valid. Our conclusion is that this model is consistent, valid with the long observations from 2000 to 2017 and over the broad frequency band from 0.3 keV to 50 keV.
在之前的项目（A）中，我们分析了对1.5塞弗特星系NGC 3227的观测数据，包括XMM-牛顿在2000年和2006年进行的两次观测，以及Suzaku在2008年进行的六次观测。在本文，即项目（B）中，我们的工作扩展到了2016年的XMM-牛顿和NuSTAR联合观测，以及2017年的NuSTAR观测。在项目 A 中，我们构建了一个统一的模型。该模型包括一个硬幂律（ΓHard = 1.4 - 1.7），被解释为来自吸积盘上方日冕的康普顿化发射。在高通量状态下，额外的软过量成分占主导地位，这与幂律（ΓSoft = 3.3 - 3.85）或暖康普顿化一致。这些发射被部分覆盖材料和暖吸收体吸收。此外，还存在反射成分和几条发射线。在项目 B 中，项目 A 中提出的模型被应用于最近的观测。结果发现，该模型仍然有效。我们的结论是，该模型与 2000 年至 2017 年的长期观测结果是一致的，在 0.3 keV 至 50 keV 的宽频带内也是有效的。
{"title":"Broad-Band X-Ray Analysis of NGC 3227","authors":"Jared Newman, Sachiko Tsuruta, Andrew C Liebmann, Hideyo Kunieda, Yoshito Haba","doi":"10.1093/ptep/ptae125","DOIUrl":"https://doi.org/10.1093/ptep/ptae125","url":null,"abstract":"Previously in Project (A) we carried out analysis of the data obtained by observations of the 1.5 Seyfert galaxy NGC 3227, the two observations performed by XMM-Newton in 2000 and 2006 and six observations by Suzaku in 2008. In the current paper, Project (B), our work was extended to joint XMM-Newton and NuSTAR observations in 2016 as well as a NuSTAR observation in 2017. In Project A a unified model was constructed. The model consists of a hard power law (ΓHard = 1.4 − 1.7) which is interpreted as the Comptonized emission from the corona above an accretion disk. In the high flux states an additional soft excess component dominates, which is consistent with either a power law (ΓSoft = 3.3 − 3.85) or warm Comptonization. These emissions are absorbed by a partial covering material and warm absorbers. A reflection component and several emission lines are also present. In Project B, the model presented in Project A was applied to more recent observations. It was found that this model remains valid. Our conclusion is that this model is consistent, valid with the long observations from 2000 to 2017 and over the broad frequency band from 0.3 keV to 50 keV.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"71 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142213307","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 show that electric fields in compactified spaces may produce Kaluza-Klein (KK) particles even when the energy of electric fields is smaller than KK scale. As an illustrating example, we consider a charged massless complex scalar coupled to U(1) gauge theory in $mathbb {R}^{1,3}times {mathbb {S}}^1$ and discuss the effect of background gauge potential along a compact direction. The electric field produces the charged Kaluza-Klein particle non-perturbatively, which we call KK Schwinger effect. We quantitatively show that KK modes can be produced even when the electric field energy is much below the KK scale. The mechanism is rather general and similar phenomena would occur in any compactification models when a gauge potential along compact direction evolves in time and experiences large enough field excursion. We also discuss the subtlety of four dimensional effective theory truncated by KK modes at an initial time, when the electric field is turned on.
我们证明，即使电场的能量小于KK尺度，紧凑空间中的电场也可能产生卡卢扎-克莱因（KK）粒子。作为一个说明性的例子，我们考虑了在 $mathbb {R}^{1,3}times {mathbb {S}}^1$ 中与 U(1) 轨则理论耦合的带电无质量复标量，并讨论了沿紧凑方向的背景轨则势的影响。电场会非微扰地产生带电的卡卢扎-克莱因粒子，我们称之为KK施文格效应。我们定量证明，即使电场能量远低于 KK 尺度，也能产生 KK 模式。这种机制相当普遍，当规电势沿紧凑方向随时间演化并经历足够大的场偏移时，类似现象会发生在任何紧凑模型中。我们还讨论了四维有效理论在电场开启的初始时间被 KK 模式截断的微妙之处。
{"title":"Kaluza-Klein Schwinger Effect","authors":"Yusuke Yamada","doi":"10.1093/ptep/ptae124","DOIUrl":"https://doi.org/10.1093/ptep/ptae124","url":null,"abstract":"We show that electric fields in compactified spaces may produce Kaluza-Klein (KK) particles even when the energy of electric fields is smaller than KK scale. As an illustrating example, we consider a charged massless complex scalar coupled to U(1) gauge theory in $mathbb {R}^{1,3}times {mathbb {S}}^1$ and discuss the effect of background gauge potential along a compact direction. The electric field produces the charged Kaluza-Klein particle non-perturbatively, which we call KK Schwinger effect. We quantitatively show that KK modes can be produced even when the electric field energy is much below the KK scale. The mechanism is rather general and similar phenomena would occur in any compactification models when a gauge potential along compact direction evolves in time and experiences large enough field excursion. We also discuss the subtlety of four dimensional effective theory truncated by KK modes at an initial time, when the electric field is turned on.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"16 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141931989","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}
In recent studies of many-body localization in nonintegrable quantum systems, the distribution of the ratio of two consecutive energy level spacings, rn = (En + 1 − En)/(En − En − 1) or $tilde{r}_n=min (r_n,r_n^{-1})$, has been used as a measure to quantify the chaoticity, alternative to the more conventional distribution of the level spacings, $s_n=bar{rho }(E_n)(E_{n+1}-E_n)$, as the former unnecessitates the unfolding required for the latter. Based on our previous work on the Tracy-Widom approach to the Jánossy densities, we present analytic expressions for the joint probability distribution of two consecutive eigenvalue spacings and the distribution of their ratio for the Gaussian unitary ensemble (GUE) of random Hermitian N × N matrices at N → ∞, in terms of a system of differential equations. As a showcase of efficacy of our results for characterizing an approach to quantum chaoticity, we contrast them to arguably the most ideal of all quantum-chaotic spectra: the zeroes of the Riemann ζ function on the critical line at increasing heights.
在最近对不可解量子系统中多体局域化的研究中，两个连续能级间距比的分布，rn = (En + 1 - En)/(En - En - 1) 或 $tilde{r}_n=min (r_n,r_n^{-1})$、已被用来量化混沌性，以替代更传统的水平间隔分布，即 $s_n=bar{rho}(E_n)(E_{n+1}-E_n)$，因为前者不需要后者所需的展开。基于我们之前对詹诺西密度的特雷西-维多姆方法的研究，我们用一个微分方程系统给出了两个连续特征值间距的联合概率分布，以及在 N → ∞ 时随机赫米提 N × N 矩阵的高斯单元集合（GUE）的它们的比值分布的解析表达式。为了展示我们的结果在表征量子混沌性方面的功效，我们将它们与所有量子混沌谱中最理想的谱进行了对比：临界线上黎曼ζ函数的零点在高度上不断增加。
{"title":"Distributions of consecutive level spacings of GUE and their ratio: ab initio derivation","authors":"Shinsuke M Nishigaki","doi":"10.1093/ptep/ptae120","DOIUrl":"https://doi.org/10.1093/ptep/ptae120","url":null,"abstract":"In recent studies of many-body localization in nonintegrable quantum systems, the distribution of the ratio of two consecutive energy level spacings, rn = (En + 1 − En)/(En − En − 1) or $tilde{r}_n=min (r_n,r_n^{-1})$, has been used as a measure to quantify the chaoticity, alternative to the more conventional distribution of the level spacings, $s_n=bar{rho }(E_n)(E_{n+1}-E_n)$, as the former unnecessitates the unfolding required for the latter. Based on our previous work on the Tracy-Widom approach to the Jánossy densities, we present analytic expressions for the joint probability distribution of two consecutive eigenvalue spacings and the distribution of their ratio for the Gaussian unitary ensemble (GUE) of random Hermitian N × N matrices at N → ∞, in terms of a system of differential equations. As a showcase of efficacy of our results for characterizing an approach to quantum chaoticity, we contrast them to arguably the most ideal of all quantum-chaotic spectra: the zeroes of the Riemann ζ function on the critical line at increasing heights.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"22 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141931990","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 introduce a new framework for the nuclear structure calculations, which describes the single-particle wave function as a superposition of localized Gaussians. It is a hybrid of the Hartree-Fock and antisymmetrized molecular dynamics models. In the numerical calculations of oxygen, calcium isotopes and 100Sn, the framework shows its potential by significantly improving upon AMD and yielding the results consistent with or even better than Hartree-Fock(-Bogoliubov) calculations based on harmonic oscillator expansions. In addition to the basic equations, general form of the matrix elements are also given.
{"title":"An implementation of nuclear many-body wave functions by the superposition of localized Gaussians","authors":"Masaaki Kimura, Yasutaka Taniguchi","doi":"10.1093/ptep/ptae119","DOIUrl":"https://doi.org/10.1093/ptep/ptae119","url":null,"abstract":"We introduce a new framework for the nuclear structure calculations, which describes the single-particle wave function as a superposition of localized Gaussians. It is a hybrid of the Hartree-Fock and antisymmetrized molecular dynamics models. In the numerical calculations of oxygen, calcium isotopes and 100Sn, the framework shows its potential by significantly improving upon AMD and yielding the results consistent with or even better than Hartree-Fock(-Bogoliubov) calculations based on harmonic oscillator expansions. In addition to the basic equations, general form of the matrix elements are also given.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"9 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141881420","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 investigate the tolerance for systematic errors in lensing analysis applied to a patchwork map of Cosmic Microwave Background polarization. We focus on the properties of the individual polarization maps that comprise the patchwork and discuss the associated calibration residuals that are coherent on those subpatches. We numerically simulate the polarization field modulated as a whole patchwork and apply a suite of lensing analyses to reveal the response of the reconstructed gravitational lensing potential and delensing efficiency. At systematic error levels expected in the near future, we find that it is possible to accurately reconstruct the lensing potential on scales larger than the subpatch size and that there is no severe degradation of the lensing B-mode removal efficiency in the subsequent delensing analysis.
{"title":"Systematic effects on lensing reconstruction from a patchwork of CMB polarization maps","authors":"Ryo Nagata, Toshiya Namikawa","doi":"10.1093/ptep/ptae117","DOIUrl":"https://doi.org/10.1093/ptep/ptae117","url":null,"abstract":"We investigate the tolerance for systematic errors in lensing analysis applied to a patchwork map of Cosmic Microwave Background polarization. We focus on the properties of the individual polarization maps that comprise the patchwork and discuss the associated calibration residuals that are coherent on those subpatches. We numerically simulate the polarization field modulated as a whole patchwork and apply a suite of lensing analyses to reveal the response of the reconstructed gravitational lensing potential and delensing efficiency. At systematic error levels expected in the near future, we find that it is possible to accurately reconstruct the lensing potential on scales larger than the subpatch size and that there is no severe degradation of the lensing B-mode removal efficiency in the subsequent delensing analysis.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"44 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141881485","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 propose a new method to compute nonlinear transport coefficients in holography, such as nonlinear DC conductivity and nonlinear friction coefficient. The conventional method can be applied only to the models whose action in the gravity dual has the “square-root structure,” i.e., the Dirac-Born-Infeld action of the probe D-branes or the Nambu-Goto action of the probe strings. Our method is applicable to a wider range of holographic models whose action does not have such a square-root structure. We propose a condition to obtain regular physical configurations in the gravity dual in the form of two simultaneous equations, which we call the patchwork condition. Our method also enables us to estimate the effective temperature of the nonequilibrium steady states in a wider range of holographic models. We show that a general model exhibits different effective temperatures for different fluctuation modes.
{"title":"Patchwork Conditions for Holographic Nonlinear Responses: A Computational Method of Electric Conductivity and Friction Coefficient","authors":"Shuta Ishigaki, Shin Nakamura, Kazuaki Takasan","doi":"10.1093/ptep/ptae118","DOIUrl":"https://doi.org/10.1093/ptep/ptae118","url":null,"abstract":"We propose a new method to compute nonlinear transport coefficients in holography, such as nonlinear DC conductivity and nonlinear friction coefficient. The conventional method can be applied only to the models whose action in the gravity dual has the “square-root structure,” i.e., the Dirac-Born-Infeld action of the probe D-branes or the Nambu-Goto action of the probe strings. Our method is applicable to a wider range of holographic models whose action does not have such a square-root structure. We propose a condition to obtain regular physical configurations in the gravity dual in the form of two simultaneous equations, which we call the patchwork condition. Our method also enables us to estimate the effective temperature of the nonequilibrium steady states in a wider range of holographic models. We show that a general model exhibits different effective temperatures for different fluctuation modes.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"26 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141881419","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}
An algorithm for providing analytical solutions to Schrödinger’s equation with non-exactly solvable potentials is elaborated. It represents a symbiosis between the logarithmic expansion method and the techniques of the supersymmetric quantum mechanics as extended toward non shape invariant potentials. The complete solution to a given Hamiltonian H0 is obtained from the nodeless states of the Hamiltonian H0 and of a set of supersymmetric partners H1, H2, …, Hr. The nodeless states (dubbed “edge” states) are unique and in general can be ground or excited states. They are solved using the logarithmic expansion which yields an infinite system of coupled first order hierarchical differential equations, converted later into algebraic equations with recurrence relations which can be solved order by order. We formulate the aforementioned scheme, termed to as “Supersymmetric Expansion Algorithm” step by step and apply it to obtain for the first time the complete analytical solutions of the three dimensional Hulthén–, and the one-dimensional anharmonic oscillator potentials.
{"title":"Supersymmetric Expansion Algorithm and Complete Analytical Solution for the Hulthén and Anharmonic Potentials","authors":"M Napsuciale, S Rodríguez, M Kirchbach","doi":"10.1093/ptep/ptae115","DOIUrl":"https://doi.org/10.1093/ptep/ptae115","url":null,"abstract":"An algorithm for providing analytical solutions to Schrödinger’s equation with non-exactly solvable potentials is elaborated. It represents a symbiosis between the logarithmic expansion method and the techniques of the supersymmetric quantum mechanics as extended toward non shape invariant potentials. The complete solution to a given Hamiltonian H0 is obtained from the nodeless states of the Hamiltonian H0 and of a set of supersymmetric partners H1, H2, …, Hr. The nodeless states (dubbed “edge” states) are unique and in general can be ground or excited states. They are solved using the logarithmic expansion which yields an infinite system of coupled first order hierarchical differential equations, converted later into algebraic equations with recurrence relations which can be solved order by order. We formulate the aforementioned scheme, termed to as “Supersymmetric Expansion Algorithm” step by step and apply it to obtain for the first time the complete analytical solutions of the three dimensional Hulthén–, and the one-dimensional anharmonic oscillator potentials.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"171 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141872553","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：