The Experts below are selected from a list of 581307 Experts worldwide ranked by ideXlab platform
Han-xin He - One of the best experts on this subject based on the ideXlab platform.
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Quantum anomaly of the transverse Ward–Takahashi relation for the axial-vector vertex
Physics Letters B, 2020Co-Authors: Han-xin HeAbstract:We study the possible quantum anomaly for the transverse Ward-Takahashi relations in four dimensional gauge theories based on the method of computing the axial-vector and the vector current operator equations. In addition to the well-known anomalous axial-vector divergence equation (the Adler-Bell-Jackiw anomaly), we find the anomalous axial-vector curl equation, which leads to the quantum anomaly of the transverse Ward-Takahashi relation for the axial-vector vertex. The computation shows that there is no anomaly for the transverse Ward-Takahashi relation for the vector vertex.Comment: 6 pages, LaTe
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transverse ward Takahashi relation for the fermion boson vertex to one loop order
International Journal of Modern Physics A, 2006Co-Authors: Han-xin He, F C KhannaAbstract:In this paper, the transverse Ward–Takahashi relation for the fermion–boson vertex in momentum space is derived in four-dimensional Abelian gauge theory. We show that, by a formal derivation, the transverse Ward–Takahashi relation to one-loop order is satisfied. We also calculate the transverse Ward–Takahashi relation to one-loop order in an arbitrary covariant gauge in the case of massless fermions and find that the result is exactly the same as we obtain in terms of the one-loop fermion–boson vertex calculated in perturbation theory by using Feynman rules. This provides an approach to determine the transverse part of the vertex.
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quantum anomaly of the transverse ward Takahashi relation for the axial vector vertex
Physics Letters B, 2001Co-Authors: Han-xin HeAbstract:We study the possible quantum anomaly for the transverse Ward-Takahashi relations in four dimensional gauge theories based on the method of computing the axial-vector and the vector current operator equations. In addition to the well-known anomalous axial-vector divergence equation (the Adler-Bell-Jackiw anomaly), we find the anomalous axial-vector curl equation, which leads to the quantum anomaly of the transverse Ward-Takahashi relation for the axial-vector vertex. The computation shows that there is no anomaly for the transverse Ward-Takahashi relation for the vector vertex. (C) 2001 Published by Elsevier Science B.V.
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Quantum anomaly of the transverse Ward–Takahashi relation for the axial-vector vertex
Physics Letters B, 2001Co-Authors: Han-xin HeAbstract:We study the possible quantum anomaly for the transverse Ward-Takahashi relations in four dimensional gauge theories based on the method of computing the axial-vector and the vector current operator equations. In addition to the well-known anomalous axial-vector divergence equation (the Adler-Bell-Jackiw anomaly), we find the anomalous axial-vector curl equation, which leads to the quantum anomaly of the transverse Ward-Takahashi relation for the axial-vector vertex. The computation shows that there is no anomaly for the transverse Ward-Takahashi relation for the vector vertex. (C) 2001 Published by Elsevier Science B.V.
R Williams - One of the best experts on this subject based on the ideXlab platform.
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checking the transverse ward Takahashi relation at one loop order in four dimensions
Journal of Physics G, 2006Co-Authors: M R Pennington, R WilliamsAbstract:Some time ago Takahashi derived the so-called transverse relations relating Green's functions of different orders to complement the well-known Ward–Green–Takahashi identities of gauge theories by considering wedge rather than inner products. These transverse relations have the potential to determine the full fermion–boson vertex in terms of the renormalization functions of the fermion propagator. He and Yu have given an indicative proof at one-loop level in four dimensions. However, their construct involves the fourth-rank Levi–Civita tensor defined only unambiguously in four dimensions exactly where the loop integrals diverge. Consequently, here we explicitly check the proposed transverse Ward–Takahashi relation holds at one-loop order in d-dimensions, with d = 4 + e.
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Checking the transverse Ward?Takahashi relation at one-loop order in four dimensions
Journal of Physics G, 2006Co-Authors: M R Pennington, R WilliamsAbstract:Some time ago Takahashi derived the so-called transverse relations relating Green's functions of different orders to complement the well-known Ward–Green–Takahashi identities of gauge theories by considering wedge rather than inner products. These transverse relations have the potential to determine the full fermion–boson vertex in terms of the renormalization functions of the fermion propagator. He and Yu have given an indicative proof at one-loop level in four dimensions. However, their construct involves the fourth-rank Levi–Civita tensor defined only unambiguously in four dimensions exactly where the loop integrals diverge. Consequently, here we explicitly check the proposed transverse Ward–Takahashi relation holds at one-loop order in d-dimensions, with d = 4 + e.
M R Pennington - One of the best experts on this subject based on the ideXlab platform.
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checking the transverse ward Takahashi relation at one loop order in four dimensions
Journal of Physics G, 2006Co-Authors: M R Pennington, R WilliamsAbstract:Some time ago Takahashi derived the so-called transverse relations relating Green's functions of different orders to complement the well-known Ward–Green–Takahashi identities of gauge theories by considering wedge rather than inner products. These transverse relations have the potential to determine the full fermion–boson vertex in terms of the renormalization functions of the fermion propagator. He and Yu have given an indicative proof at one-loop level in four dimensions. However, their construct involves the fourth-rank Levi–Civita tensor defined only unambiguously in four dimensions exactly where the loop integrals diverge. Consequently, here we explicitly check the proposed transverse Ward–Takahashi relation holds at one-loop order in d-dimensions, with d = 4 + e.
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Checking the transverse Ward?Takahashi relation at one-loop order in four dimensions
Journal of Physics G, 2006Co-Authors: M R Pennington, R WilliamsAbstract:Some time ago Takahashi derived the so-called transverse relations relating Green's functions of different orders to complement the well-known Ward–Green–Takahashi identities of gauge theories by considering wedge rather than inner products. These transverse relations have the potential to determine the full fermion–boson vertex in terms of the renormalization functions of the fermion propagator. He and Yu have given an indicative proof at one-loop level in four dimensions. However, their construct involves the fourth-rank Levi–Civita tensor defined only unambiguously in four dimensions exactly where the loop integrals diverge. Consequently, here we explicitly check the proposed transverse Ward–Takahashi relation holds at one-loop order in d-dimensions, with d = 4 + e.
Kiyoshi Sogo - One of the best experts on this subject based on the ideXlab platform.
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ward Takahashi relations for so 4 symmetry in the hubbard model
Physical Review B, 2005Co-Authors: Atsushi Masumizu, Kiyoshi SogoAbstract:Ward-Takahashi relations for spin symmetry $\mathrm{SU}{(2)}_{\mathrm{S}}$ and pseudospin symmetry $\mathrm{SU}{(2)}_{\mathrm{C}}$ are derived for the simple Hubbard model in arbitrary dimensions. For this purpose we generally discuss local SO(4) symmetry in terms of Clifford algebra, and employ a gauge transformed form of the original Hubbard Hamiltonian, which makes the Ward-Takahashi relations much simpler. Derived Ward-Takahashi relations are rewritten as the relations between self-energy and vertex part to discuss spontaneously broken symmetry and Fermi liquid property of the system for zero temperature magnetism.
Junji Suzuki - One of the best experts on this subject based on the ideXlab platform.
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continued fraction tba and functional relations in xxz model at root of unity
Nuclear Physics, 1998Co-Authors: Atsuo Kuniba, Kazumitsu Sakai, Junji SuzukiAbstract:Abstract Thermodynamics of the spin 1 2 XXZ model is studied in the critical regime using the quantum transfer matrix (QTM) approach. We find functional relations indexed by the Takahashi-Suzuki numbers among the fusion hierarchy of the QTM's ( T -system) and their certain combinations ( Y -system). By investigating analyticity of the latter, we derive a closed set of nonlinear integral equations which characterize the free energy and the correlation lengths for both 〈 σ j + σ i − 〉 and 〈 σ j z σ i z 〉 at any finite temperatures. Concerning the free energy, they exactly coincide with Takahashi-Suzuki's TBA equations based on the string hypothesis. By solving the integral equations numerically the correlation lengths are determined, which agrees with the earlier results in the low temperature limit. © 1998 Elsevier Science BX
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continued fraction tba and functional relations in xxz model at root of unity
arXiv: Quantum Algebra, 1998Co-Authors: Atsuo Kuniba, Kazumitsu Sakai, Junji SuzukiAbstract:Thermodynamics of the spin 1/2 XXZ model is studied in the critical regime using the quantum transfer matrix (QTM) approach. We find functional relations indexed by the Takahashi-Suzuki numbers among the fusion hierarchy of the QTM's (T-system) and their certain combinations (Y-system). By investigating analyticity of the latter, we derive a closed set of non-linear integral equations which characterize the free energy and the correlation lengths for both and at any finite temperatures. Concerning the free energy, they exactly coincide with Takahashi-Suzuki's TBA equations based on the string hypothesis. By solving the integral equations numerically the correlation lengths are determined, which agrees with the earlier results in the low temperature limit.
