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Anomaly and anomaly-free treatment of QFT
Ma, Yong-Liang; Wu, Yue-Liang; Ma, YL , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
2006
发表期刊INTERNATIONAL JOURNAL OF MODERN PHYSICS A
ISSN0217-751X
卷号21期号:31页码:6383-6456
摘要The triangle anomaly in massless and massive QED is investigated by adopting the symmetry-preserving loop regularization method proposed recently in Refs. 1 and 2. The method is realized in the initial dimension of theory without modifying the original Lagrangian, it preserves symmetries under non-Abelian gauge and Poincare transformations in spite of the existence of two intrinsic mass scales M-c and mu(s) which actually play the roles of UV- and IR-cutoff respectively. The axial-vector-vector-vector (AVV) triangle diagrams in massless and massive QED are evaluated explicitly by using the loop regularization. It is shown that when the momentum k of external state is soft with k(2) << mu(2)(s), m(2) (m is the mass of loop fermions) and M -> infinity, both massless and massive QED become anomaly free. The triangle anomaly is found to appear as quantum corrections in the case that m(2), mu(2)(s) << k(2) and M-c -> infinity. Especially, it is justified that in the massless QED with mu(s) = 0 and M-c -> infinity, the triangle anomaly naturally exists as quantum effects in the axial-vector current when the ambiguity caused by the trace of gamma matrices with gamma(5) is eliminated by simply using the definition of gamma(5). It is explicitly demonstrated how the Ward identity anomaly of currents depends on the treatment for the trace of gamma matrices, which enables us to make a clarification whether the ambiguity of triangle anomaly is caused by the regularization scheme in the perturbation calculations or by the trace of gamma matrices with gamma(5). For comparison, an explicit calculation based on the Pauli-Villars regularization and dimensional regularization is carried out and the possible ambiguities of Ward identity anomalies caused from these two regularization schemes are carefully discussed, which include the ambiguities induced by the treatment of the trace of gamma matrices with gamma(5) and the action of the external momentum on the amplitude before the direct calculation of the AVV diagram.
部门归属Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
关键词Current-algebra Field Theories Gauge Electrodynamics Renormalization Identities
学科领域Physics
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收录类别SCI
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/5813
专题理论物理所1978-2010年知识产出
通讯作者Ma, YL , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
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Ma, Yong-Liang,Wu, Yue-Liang,Ma, YL , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China. Anomaly and anomaly-free treatment of QFT[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A,2006,21(31):6383-6456.
APA Ma, Yong-Liang,Wu, Yue-Liang,&Ma, YL , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China.(2006).Anomaly and anomaly-free treatment of QFT.INTERNATIONAL JOURNAL OF MODERN PHYSICS A,21(31),6383-6456.
MLA Ma, Yong-Liang,et al."Anomaly and anomaly-free treatment of QFT".INTERNATIONAL JOURNAL OF MODERN PHYSICS A 21.31(2006):6383-6456.
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