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

Higher-order induced axial-vector isoscalar neutral current in gauge theories

1979 ◽  
Vol 19 (7) ◽  
pp. 2165-2178 ◽  
Author(s):  
R. N. Mohapatra ◽  
G. Senjanović
Keyword(s):  
Gauge Theories ◽  
Neutral Current ◽  
Axial Vector ◽  
Higher Order

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

The full vertex functions constrained by the longitudinal and transverse Ward–Takahashi identities in massless QED3 theory

2021 ◽  
pp. 2150039
Author(s):  
Yang Yu ◽  
Jian-Feng Li
Keyword(s):  
Vertex Function ◽  
Quantum Electrodynamics ◽  
Gauge Theories ◽  
Chiral Limit ◽  
Wilson Line ◽  
Axial Vector ◽  
Fermion Masses ◽  
Low Dimensional ◽  
Full Vector

In this paper, we find apart from the Ward–Takahashi (WT) identity, the identity between gamma matrices can also constrain the vertex functions in low-dimensional gauge theories. In (1 + 1) dimensions, the identity between gamma matrices gives the identity between vector and axial-vector vertex functions while in (2 + 1) dimensions it leads to the identity between vector and tensor vertex functions. Then, we derive the expressions of the full scalar, vector and tensor vertex functions in (2 + 1) dimensions Quantum Electrodynamics (QED3) by using the longitudinal and transverse WT identities for vector and tensor currents. Furthermore, we find that in the chiral limit with zero fermion masses, the contribution of Wilson line in full vector vertex function is eliminated and the full vector vertex function is strictly expressed in terms of the fermion propagators when using the identity between vector and tensor vertex functions to further constraint the vertex functions.

scholarly journals Stochastic quantization of axial vector gauge theories with fermions

2019 ◽  
Vol 34 (22) ◽  
pp. 1950176
Author(s):  
A. K. Kapoor
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Gauge Theories ◽  
Axial Vector ◽  
Quantization Scheme ◽  
Quantum Field ◽  
Stochastic Quantization ◽  
Massless Fermion ◽  
Fermion Masses ◽  
Vector Gauge

The stochastic quantization scheme proposed by Parisi and Wu in 1981 is known to have differences from conventional quantum field theory (CQFT) in higher orders. It has been suggested that some of these new features might give rise to a mechanism to explain tiny fermion masses as arising due to radiative corrections. Some features of U(1) axial vector gauge theory in Parisi Wu stochastic quantization are reported. These features are not absent if the theory is formulated in the conventional way. In particular we present arguments for renormalizability of the massive axial vector gauge theory coupled to a massless fermion.

scholarly journals Staggered fermions for chiral gauge theories: Test on a two-dimensional axial-vector model

1994 ◽  
Vol 414 (1-2) ◽  
pp. 73-92 ◽  
Author(s):  
Wolfgang Bock ◽  
Jan Smit ◽  
Jeroen C. Vink
Keyword(s):  
Gauge Theories ◽  
Axial Vector ◽  
Vector Model ◽  
Two Dimensional ◽  
Staggered Fermions
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