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":null,"pages":null},"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}
In order to include the effect of high energy and topological parameters on black holes in F(R) gravity, we consider two corrections to this gravity: energy-dependent spacetime with different topological constants, and a nonlinear electrodynamics field. In other words, we combine F(R) gravity’s rainbow with ModMax nonlinear electrodynamics theory to see the effects of high energy and topological parameters on the physics of black holes. For this purpose, we first extract topological black hole solutions in F(R) -ModMax gravity’s rainbow. Then, by considering black holes as thermodynamic systems, we obtain thermodynamic quantities and check the first law of thermodynamics. The effect of the topological parameter on the Hawking temperature and the total mass of black holes is obvious. We also discuss the thermodynamic topology of topological black holes in F(R)-ModMax gravity’s rainbow using the off-shell free energy method. In this formalism, black holes are assumed to be equivalent to defects in their thermodynamic spaces. For our analysis, we consider two different types of thermodynamic ensembles. These are: fixed q ensemble and fixed φ ensemble. We take into account all the different types of curvature hypersurfaces that can be constructed in these black holes. The local and global topology of these black holes are studied by computing the topological charges at the defects in their thermodynamic spaces. Finally, in accordance with their topological charges, we classify the black holes into three topological classes with total winding numbers corresponding to −1, 0, and 1. We observe that the topological classes of these black holes are dependent on the value of the rainbow function, the sign of the scalar curvature, and the choice of ensembles.
{"title":"Thermodynamic topology of topological black hole in F(R)-ModMax gravity’s rainbow","authors":"B Eslam Panah, B Hazarika, P Phukon","doi":"10.1093/ptep/ptae116","DOIUrl":"https://doi.org/10.1093/ptep/ptae116","url":null,"abstract":"In order to include the effect of high energy and topological parameters on black holes in F(R) gravity, we consider two corrections to this gravity: energy-dependent spacetime with different topological constants, and a nonlinear electrodynamics field. In other words, we combine F(R) gravity’s rainbow with ModMax nonlinear electrodynamics theory to see the effects of high energy and topological parameters on the physics of black holes. For this purpose, we first extract topological black hole solutions in F(R) -ModMax gravity’s rainbow. Then, by considering black holes as thermodynamic systems, we obtain thermodynamic quantities and check the first law of thermodynamics. The effect of the topological parameter on the Hawking temperature and the total mass of black holes is obvious. We also discuss the thermodynamic topology of topological black holes in F(R)-ModMax gravity’s rainbow using the off-shell free energy method. In this formalism, black holes are assumed to be equivalent to defects in their thermodynamic spaces. For our analysis, we consider two different types of thermodynamic ensembles. These are: fixed q ensemble and fixed φ ensemble. We take into account all the different types of curvature hypersurfaces that can be constructed in these black holes. The local and global topology of these black holes are studied by computing the topological charges at the defects in their thermodynamic spaces. Finally, in accordance with their topological charges, we classify the black holes into three topological classes with total winding numbers corresponding to −1, 0, and 1. We observe that the topological classes of these black holes are dependent on the value of the rainbow function, the sign of the scalar curvature, and the choice of ensembles.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141881486","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 electron transport through a double-channel Fano-Anderson structure, by considering the side-coupling of Majorana bound states (MBSs). It is found that the bound state in continuum (BIC) phenomenon can be induced when inter-channel dot-lead couplings are identical to the intra-channel dot-lead couplings, whose signature is manifested as the halved quantum transmission ability. If the balance between the dot-lead couplings is broken, the BIC phenomenon will also be destroyed, leading to further suppression of the transmission ability. Next, when MBSs are introduced to this system, the BIC phenomenon can be modified efficiently. For the case of two MBSs side-coupled to the quantum dots in a symmetric way, level degeneracy causes new a BIC phenomenon. As only one MBS is incorporated, it suppresses the electron transmission by inducing new transmission dips. When the interdot Coulomb interaction is considered, the BIC phenomena are still robust despite the complicate changes of the transmission ability spectra. One can then understand the realization of BIC in coupled quantum dots and their variation due to the presence of side-coupled MBSs.
{"title":"Majorana-free bound state in continuum in the double-channel Fano-Anderson structure","authors":"Tong Gong, Yu-Lian Zhu, Wei-Jiang Gong","doi":"10.1093/ptep/ptae114","DOIUrl":"https://doi.org/10.1093/ptep/ptae114","url":null,"abstract":"We investigate the electron transport through a double-channel Fano-Anderson structure, by considering the side-coupling of Majorana bound states (MBSs). It is found that the bound state in continuum (BIC) phenomenon can be induced when inter-channel dot-lead couplings are identical to the intra-channel dot-lead couplings, whose signature is manifested as the halved quantum transmission ability. If the balance between the dot-lead couplings is broken, the BIC phenomenon will also be destroyed, leading to further suppression of the transmission ability. Next, when MBSs are introduced to this system, the BIC phenomenon can be modified efficiently. For the case of two MBSs side-coupled to the quantum dots in a symmetric way, level degeneracy causes new a BIC phenomenon. As only one MBS is incorporated, it suppresses the electron transmission by inducing new transmission dips. When the interdot Coulomb interaction is considered, the BIC phenomena are still robust despite the complicate changes of the transmission ability spectra. One can then understand the realization of BIC in coupled quantum dots and their variation due to the presence of side-coupled MBSs.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141770899","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 consider the addition of a single SU(2) multiplet of complex scalar fields to the Standard Model (SM). We explicitly consider the various possible values of the weak isospin J of that multiplet, up to and including J = 7/2. We allow the multiplet to have arbitrary weak hypercharge. The scalar fields of the multiplet are assumed to have no vacuum expectation value; the mass differences among the components of the multiplet originate in its coupling, present in the scalar potential (SP), to the Higgs doublet of the SM. We derive exact bounded-from-below and unitarity conditions on the SP, thereby constraining those mass differences. We compare those constraints to the ones that may be derived from the oblique parameters.
我们考虑在标准模型（SM）中加入一个单一的 SU(2) 复数复合标量场。我们明确考虑了多重子的弱等空素 J 的各种可能值，最多包括 J = 7/2。我们允许多重子具有任意的弱超电荷。多重子的标量场被假定为没有真空期望值；多重子各分量之间的质量差异源于其与 SM 的希格斯双重子的耦合（存在于标量势（SP）中）。我们推导出了关于标量势的精确有界自下条件和单位性条件，从而约束了这些质量差异。我们将这些约束与斜参数可能得出的约束进行比较。
{"title":"On the addition of a large scalar multiplet to the Standard Model","authors":"Darius Jurčiukonis, Luí s Lavoura","doi":"10.1093/ptep/ptae113","DOIUrl":"https://doi.org/10.1093/ptep/ptae113","url":null,"abstract":"We consider the addition of a single SU(2) multiplet of complex scalar fields to the Standard Model (SM). We explicitly consider the various possible values of the weak isospin J of that multiplet, up to and including J = 7/2. We allow the multiplet to have arbitrary weak hypercharge. The scalar fields of the multiplet are assumed to have no vacuum expectation value; the mass differences among the components of the multiplet originate in its coupling, present in the scalar potential (SP), to the Higgs doublet of the SM. We derive exact bounded-from-below and unitarity conditions on the SP, thereby constraining those mass differences. We compare those constraints to the ones that may be derived from the oblique parameters.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141770742","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 examine the fundamental Kazakov-Migdal (FKM) model on a generic graph, whose partition function is represented by the Ihara zeta function weighted by unitary matrices. The FKM model becomes unstable in the critical strip of the Ihara zeta function. We discover a duality between small and large couplings, associated with the functional equation of the Ihara zeta function for regular graphs. Although the duality is not precise for irregular graphs, we show that the effective action in the large coupling region can be represented by a summation of all possible Wilson loops on the graph similar to that in the small coupling region. We estimate the phase structure of the FKM model both in the small and large coupling regions by comparing it with the Gross-Witten-Wadia (GWW) model. We further validate the theoretical analysis through detailed numerical simulations.
{"title":"Phases and duality in fundamental kazakov-migdal model on the graph","authors":"So Matsuura, Kazutoshi Ohta","doi":"10.1093/ptep/ptae109","DOIUrl":"https://doi.org/10.1093/ptep/ptae109","url":null,"abstract":"We examine the fundamental Kazakov-Migdal (FKM) model on a generic graph, whose partition function is represented by the Ihara zeta function weighted by unitary matrices. The FKM model becomes unstable in the critical strip of the Ihara zeta function. We discover a duality between small and large couplings, associated with the functional equation of the Ihara zeta function for regular graphs. Although the duality is not precise for irregular graphs, we show that the effective action in the large coupling region can be represented by a summation of all possible Wilson loops on the graph similar to that in the small coupling region. We estimate the phase structure of the FKM model both in the small and large coupling regions by comparing it with the Gross-Witten-Wadia (GWW) model. We further validate the theoretical analysis through detailed numerical simulations.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744620","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 consider a low energy effective theory of p-branes in a D-dimensional spacetime, and impose two conditions: 1) the theory is scale invariant, and 2) the electric-magnetic dual (D − p − 4)-branes exist and they obey the same type of interactions to the p-branes. (We also assume other natural conditions such as Lorentz invariance but not string theory, supersymmetry, supergravity and so on.) We then ask what p and D are consistent with these conditions. Using simple dimensional analysis, we find that only two solutions are possible: (p, D) = (2, 11) and (p, D) = (2n − 1, 4n + 2), (n = 1, 2, 3, ⋅⋅⋅). The first solution corresponds to M-theory, and the second solutions at n = 1 and n = 2 correspond to self-dual strings in little string theory and D3-branes in type IIB superstring theory, respectively, while the second solutions for n ≥ 3 are unknown but would be higher spin theories. Thus, quantum gravity (massless spin two theory) satisfying our two conditions would only be superstring theories, and they would be strong enough to characterize superstring theories in quantum gravity.
我们考虑了 D 维时空中 p 粒子的低能有效理论，并提出了两个条件：1) 理论是尺度不变的；2) 存在电磁双（D - p - 4）膜，并且它们与 p 膜服从相同类型的相互作用。(我们还假设了其他自然条件，如洛伦兹不变性，但不包括弦理论、超对称、超引力等）。然后，我们会问什么 p 和 D 符合这些条件。通过简单的维度分析，我们发现只有两种解是可能的：（p，D）=（2，11）和（p，D）=（2n - 1，4n + 2），（n = 1，2，3，⋅⋅⋅）。第一个解对应于 M 理论，n = 1 和 n = 2 时的第二个解分别对应于小弦理论中的自双弦和 IIB 型超弦理论中的 D3 带，而 n ≥ 3 时的第二个解未知，但可能是更高的自旋理论。因此，满足我们这两个条件的量子引力（无质自旋二理论）只能是超弦理论，而且它们足以表征量子引力中的超弦理论。
{"title":"Constraining Spacetime Dimensions in Quantum Gravity by Scale Invariance and Electric-Magnetic Duality","authors":"Takeshi Morita","doi":"10.1093/ptep/ptae112","DOIUrl":"https://doi.org/10.1093/ptep/ptae112","url":null,"abstract":"We consider a low energy effective theory of p-branes in a D-dimensional spacetime, and impose two conditions: 1) the theory is scale invariant, and 2) the electric-magnetic dual (D − p − 4)-branes exist and they obey the same type of interactions to the p-branes. (We also assume other natural conditions such as Lorentz invariance but not string theory, supersymmetry, supergravity and so on.) We then ask what p and D are consistent with these conditions. Using simple dimensional analysis, we find that only two solutions are possible: (p, D) = (2, 11) and (p, D) = (2n − 1, 4n + 2), (n = 1, 2, 3, ⋅⋅⋅). The first solution corresponds to M-theory, and the second solutions at n = 1 and n = 2 correspond to self-dual strings in little string theory and D3-branes in type IIB superstring theory, respectively, while the second solutions for n ≥ 3 are unknown but would be higher spin theories. Thus, quantum gravity (massless spin two theory) satisfying our two conditions would only be superstring theories, and they would be strong enough to characterize superstring theories in quantum gravity.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744619","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 this paper, the non-linear Volterra series expansion is extended and used to describe certain types of non-autonomous differential equations related to the inverse scattering problem in nuclear physics. The non-autonomous Volterra series expansion lets us determine a dynamic, polynomial approximation of the variable phase approximation (VPA), which is used to determine the phase shifts from nuclear potentials through first-order non-linear differential equations. By using the first-order Volterra expansion, a robust approximation is formulated to the inverse scattering problem for weak potentials and/or high energies. The method is then extended with the help of radial basis function neural networks by applying a nonlinear transformation on the measured phase shifts to be able to model the scattering system with a linear approximation given by the first order Volterra expansion. The method is applied to describe the 1S0 NN potentials in neutron+proton scattering below 200 MeV laboratory kinetic energies, giving physically sensible potentials and below $1%$ averaged relative error between the re-calculated and the measured phase shifts.
{"title":"Non-autonomous Volterra series expansion of the Variable Phase Approximation and its application to the nucleon-nucleon inverse scattering problem","authors":"G. Balassa","doi":"10.1093/ptep/ptae111","DOIUrl":"https://doi.org/10.1093/ptep/ptae111","url":null,"abstract":"\u0000 In this paper, the non-linear Volterra series expansion is extended and used to describe certain types of non-autonomous differential equations related to the inverse scattering problem in nuclear physics. The non-autonomous Volterra series expansion lets us determine a dynamic, polynomial approximation of the variable phase approximation (VPA), which is used to determine the phase shifts from nuclear potentials through first-order non-linear differential equations. By using the first-order Volterra expansion, a robust approximation is formulated to the inverse scattering problem for weak potentials and/or high energies. The method is then extended with the help of radial basis function neural networks by applying a nonlinear transformation on the measured phase shifts to be able to model the scattering system with a linear approximation given by the first order Volterra expansion. The method is applied to describe the 1S0 NN potentials in neutron+proton scattering below 200 MeV laboratory kinetic energies, giving physically sensible potentials and below $1%$ averaged relative error between the re-calculated and the measured phase shifts.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141640161","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}
S Hoshino, Y Fujikawa, M Ohkawa, T Washimi, T Yokozawa
The microseismic motion, ambient ground vibration caused by ocean waves, affects ground-based gravitational wave detectors. In this study, characteristics of the ocean waves including seasonal variations and correlation coefficients were investigated for the significant wave heights at 13 coasts in Japan. The relationship between the ocean waves and the microseismic motion at the KAGRA site was also evaluated. As a result, it almost succeeded in explaining the microseismic motion at the KAGRA site by the principal components of the ocean wave data. One possible application of this study is microseismic forecasting, an example of which is also presented
{"title":"Evaluation of microseismic motion at the KAGRA site based on ocean wave data","authors":"S Hoshino, Y Fujikawa, M Ohkawa, T Washimi, T Yokozawa","doi":"10.1093/ptep/ptae108","DOIUrl":"https://doi.org/10.1093/ptep/ptae108","url":null,"abstract":"The microseismic motion, ambient ground vibration caused by ocean waves, affects ground-based gravitational wave detectors. In this study, characteristics of the ocean waves including seasonal variations and correlation coefficients were investigated for the significant wave heights at 13 coasts in Japan. The relationship between the ocean waves and the microseismic motion at the KAGRA site was also evaluated. As a result, it almost succeeded in explaining the microseismic motion at the KAGRA site by the principal components of the ocean wave data. One possible application of this study is microseismic forecasting, an example of which is also presented","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141717648","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 considered the radiative transition of an electron due to its spin-flip in a constant background field of quasielectric type, which models the Lorentz-noninvariant vacuum. The power and probability of radiation and the degree of its linear polarization are calculated. It is shown that this radiative transition leads to the complete polarization of the initially unpolarized electron beam. The investigated effects increase with increasing electron energy.
{"title":"Photon emission by an electron in a constant background field modeling a Lorentz-noninvariant vacuum","authors":"Anatoly V Borisov","doi":"10.1093/ptep/ptae110","DOIUrl":"https://doi.org/10.1093/ptep/ptae110","url":null,"abstract":"We considered the radiative transition of an electron due to its spin-flip in a constant background field of quasielectric type, which models the Lorentz-noninvariant vacuum. The power and probability of radiation and the degree of its linear polarization are calculated. It is shown that this radiative transition leads to the complete polarization of the initially unpolarized electron beam. The investigated effects increase with increasing electron energy.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141612944","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 extend the formula for correlation functions of free scalar field theories and Dirac field theories in terms of quantum A∞ algebras presented in arXiv:2305.11634 to general scalar-Dirac systems. We obtain the result that the same formula as in the previous paper holds in this case. We show that correlation functions from our formula satisfy the Schwinger-Dyson equations. We therefore confirm that correlation functions from our formula express correlation functions from the ordinary approach of quantum field theory.
{"title":"Correlation functions involving Dirac fields from homotopy algebras II: the interacting theory","authors":"Keisuke Konosu","doi":"10.1093/ptep/ptae105","DOIUrl":"https://doi.org/10.1093/ptep/ptae105","url":null,"abstract":"We extend the formula for correlation functions of free scalar field theories and Dirac field theories in terms of quantum A∞ algebras presented in arXiv:2305.11634 to general scalar-Dirac systems. We obtain the result that the same formula as in the previous paper holds in this case. We show that correlation functions from our formula satisfy the Schwinger-Dyson equations. We therefore confirm that correlation functions from our formula express correlation functions from the ordinary approach of quantum field theory.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141586890","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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