Multiplicative renormalizability of Abelian supergauge theory in the Wess-Zumino gauge

1981 ◽  
Vol 24 (9) ◽  
pp. 801-805
Author(s):  
I. V. Tyutin
Keyword(s):  
Supergauge Theory ◽  
Multiplicative Renormalizability

scholarly journals Renormalizable Abelian-Projected Effective Gauge Theory Derived from Quantum Chromodynamics II

2003 ◽  
Vol 18 (20) ◽  
pp. 1403-1412 ◽  
Author(s):  
Toru Shinohara
Keyword(s):  
Gauge Theory ◽  
Tensor Field ◽  
Anomalous Dimension ◽  
Low Energy ◽  
Effective Theory ◽  
Abelian Gauge ◽  
Yang Mills ◽  
Antisymmetric Tensor Field ◽  
Group Functions ◽  
Multiplicative Renormalizability

In the previous paper,1 we derived the Abelian projected effective gauge theory as a low energy effective theory of the SU (N) Yang–Mills theory by adopting the maximal Abelian gauge. At that time, we have demonstrated the multiplicative renormalizability of the propagators for the diagonal gluon and the dual Abelian antisymmetric tensor field. In this paper, we show the multiplicative renormalizability of the Green's functions also for the off-diagonal gluon. Moreover, we complement the previous results by calculating the anomalous dimension and the renormalization group functions which are undetermined in the previous paper.

Geometric aspects of supergauge theory

1977 ◽  
Vol 18 (10) ◽  
pp. 1923-1927 ◽  
Author(s):  
D. J. R. Lloyd‐Evans
Keyword(s):  
Supergauge Theory

MULTIPLICATIVE RENORMALIZABILITY AND SELF-CONSISTENT TREATMENTS OF THE SCHWINGER-DYSON EQUATIONS

1991 ◽  
Vol 06 (04) ◽  
pp. 317-324 ◽  
Author(s):  
N. BROWN ◽  
N. DOREY
Keyword(s):  
The Self ◽  
Fermion Propagator ◽  
Self Consistent ◽  
Renormalization Constants ◽  
Multiplicative Renormalizability ◽  
Self Consistency ◽  
Important Test

Many approximations to the Schwinger-Dyson equations place constraints on the renormalization constants of a theory. The requirement that the solutions to the equations be multiplicatively renormalizable also places constraints on these constants. Demanding that these two sets of constraints be compatible is an important test of the self-consistency of the approximations made. We illustrate this idea by considering the equation for the fermion propagator in massless quenched QED, checking the consistency of various approximations.

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