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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 PublicationINTERNATIONAL JOURNAL OF MODERN PHYSICS A
KeywordOne-loop Order Identity Equations Symmetry
AbstractIn 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
ISSN0217-751X
Volume22Issue:11Pages:2119-2132
Subject AreaPhysics
Indexed BySCI
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Cited Times:12[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5748
Collection理论物理所科研产出_SCI论文
Corresponding AuthorHe, 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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