scholarly journals Ward identity and basis tensor gauge theory at one loop

2018 ◽  
Vol 97 (12) ◽  
Author(s):  
Daniel J. H. Chung
Keyword(s):  
1990 ◽  
Vol 05 (23) ◽  
pp. 1833-1839 ◽  
Author(s):  
WEI CHEN ◽  
G. W. SEMENOFF ◽  
YONG-SHI WU

The topological Chern-Simons gauge theory is studied in the framework of perturbation theory. Both dimensional and F2 regularizations are used. We demonstrate the vanishing of the beta function up to three loops, the absence of diffeomorphism anomaly in the calculation of two- and three-point functions, and the validity of a topological Ward identity by finite renormalization of the coupling constant. The regularization dependence of the finite renormalization and an ambiguity in the dimensional regularization are also discussed.


1991 ◽  
Vol 06 (17) ◽  
pp. 1597-1604 ◽  
Author(s):  
J. BARCELOS-NETO ◽  
CARLOS A. P. GALVÃO ◽  
P. GAETE

We consider the implementation of a properly modified form of the Fock–Schwinger gauge condition in a general non-Abelian gauge theory in the context of the BFV formalism. Arguments are presented to justify the necessity of modifying the original Fock–Schwinger condition. The free field propagator and the general Ward identity are also calculated.


1980 ◽  
Vol 21 (8) ◽  
pp. 2203-2212 ◽  
Author(s):  
Parthasarathi Majumdar ◽  
Enrico C. Poggio ◽  
Howard J. Schnitzer

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