Knowledge Management System of Institute of Theoretical Physics, CAS
He, Han-Xin; He, HX , China Inst Atom Energy, POB 275 18, Beijing 102413, Peoples R China | |
Transverse Ward-Takahashi relation for the fermion-boson vertex function in four-dimensional abelian gauge theory | |
Source Publication | INTERNATIONAL JOURNAL OF MODERN PHYSICS A |
Keyword | One-loop Order Identity Equations Symmetry |
Abstract | In this paper, we give a general formula of the transverse Ward-Takahashi relation for the fermion-boson vertex function in momentum space in four-dimensional Abelian gauge theory, with the complete expression of the integral-term involving the nonlocal axial-vector vertex function, from which the corresponding one-loop expression is derived straightforwardly. Then we deduce carefully this transverse Ward-Takahashi relation to one-loop order in d dimensions, with d = 4 + is an element of. The result shows that this relation holds in d dimensions if the combination is an element of(lambda mu nu p)gamma p gamma 5 in d dimensions is replaced with - 1/2 {gamma(lambda), sigma(mu nu)} by the identity of gamma-matrices, and there is no additional piece proportional to (d - 4) to include for this relation to hold in four dimensions. This result is further confirmed by an explicit computation of terms in this transverse WT relation to one-loop order. We also discuss the momentum space representation of the nonlocal term in the transverse WT relation. |
2007 | |
ISSN | 0217-751X |
Volume | 22Issue:11Pages:2119-2132 |
Subject Area | Physics |
Indexed By | SCI |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.itp.ac.cn/handle/311006/5748 |
Collection | 理论物理所科研产出_SCI论文 |
Corresponding Author | He, HX , China Inst Atom Energy, POB 275 18, Beijing 102413, Peoples R China |
Recommended Citation GB/T 7714 | He, Han-Xin,He, HX , China Inst Atom Energy, POB 275 18, Beijing 102413, Peoples R China. Transverse Ward-Takahashi relation for the fermion-boson vertex function in four-dimensional abelian gauge theory[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A,2007,22(11):2119-2132. |
APA | He, Han-Xin,&He, HX , China Inst Atom Energy, POB 275 18, Beijing 102413, Peoples R China.(2007).Transverse Ward-Takahashi relation for the fermion-boson vertex function in four-dimensional abelian gauge theory.INTERNATIONAL JOURNAL OF MODERN PHYSICS A,22(11),2119-2132. |
MLA | He, Han-Xin,et al."Transverse Ward-Takahashi relation for the fermion-boson vertex function in four-dimensional abelian gauge theory".INTERNATIONAL JOURNAL OF MODERN PHYSICS A 22.11(2007):2119-2132. |
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