scholarly journals Path-Integral Derivation of the Transverse Axial Vector and Vector Anomalies in QED

2013 ◽  
Vol 04 (01) ◽  
pp. 35-38 ◽  
Author(s):  
Dan Wang ◽  
Aidong Bao
Keyword(s):  
Path Integral ◽  
Axial Vector ◽  
Transverse Axial

scholarly journals The fermionic universal one-loop effective action

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Sebastian A. R. Ellis ◽  
Jérémie Quevillon ◽  
Pham Ngoc Hoa Vuong ◽  
Tevong You ◽  
Zhengkang Zhang
Keyword(s):  
Path Integral ◽  
Effective Action ◽  
Covariant Derivative ◽  
Heavy Fermion ◽  
Axial Vector ◽  
Derivative Expansion ◽  
Universal Structure ◽  
Pseudo Scalar ◽  
Matching Techniques ◽  
Analytical Expressions

Abstract Recent development of path integral matching techniques based on the covariant derivative expansion has made manifest a universal structure of one-loop effective Lagrangians. The universal terms can be computed once and for all to serve as a reference for one-loop matching calculations and to ease their automation. Here we present the fermionic universal one-loop effective action (UOLEA), resulting from integrating out heavy fermions (Dirac or Majorana) with scalar, pseudo-scalar, vector and axial-vector couplings. We also clarify the relation of the new terms computed here to terms previously computed in the literature and those that remain to complete the UOLEA. Our results can be readily used to efficiently obtain analytical expressions for effective operators arising from heavy fermion loops [13].

scholarly journals Topological index associated with transverse axial vector and vector anomalies in QED

2015 ◽  
Vol 39 (4) ◽  
pp. 043101
Author(s):  
Yi-Qian Sun ◽  
Pin Lü ◽  
Ai-Dong Bao
Keyword(s):  
Topological Index ◽  
Axial Vector ◽  
Transverse Axial

scholarly journals A note on transverse axial vector and vector anomalies in U(1) gauge theories

2003 ◽  
Vol 569 (3-4) ◽  
pp. 211-218 ◽  
Author(s):  
Wei-Min Sun ◽  
Hong-Shi Zong ◽  
Xiang-Song Chen ◽  
Fan Wang
Keyword(s):  
Gauge Theories ◽  
Axial Vector ◽  
Transverse Axial

EFFECTIVE CHIRAL LAGRANGIANS FOR STRONG, WEAK AND ELECTROMAGNETIC-WEAK INTERACTIONS OF MESONS FROM QUARK FLAVOR DYNAMICS

1993 ◽  
Vol 08 (07) ◽  
pp. 1313-1344 ◽  
Author(s):  
D. EBERT ◽  
A.A. BEL’KOV ◽  
A.V. LANYOV ◽  
A. SCHAALE
Keyword(s):  
Path Integral ◽  
Fourth Order ◽  
Chiral Lagrangians ◽  
Weak Interactions ◽  
Axial Vector ◽  
Chiral Expansion ◽  
Strong Interactions ◽  
Vector Mesons ◽  
Quark Flavor

Effective chiral Lagrangians for strong, weak and electromagnetic-weak interactions of composite pseudoscalar, vector and axial-vector mesons are derived up to the fourth order in the chiral expansion from quark flavor dynamics based on the Nambu-Jona-Lasinio model. This approach completes earlier work on strong interactions and applies the path-integral bosonization method to the nonleptonic weak quark Lagrangian including the emission of structural photons. As illustrations, the bosonized weak and electromagnetic-weak Lagrangians are applied to the description of K→π(η) and K→π(η)γ* transitions.

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