A nonperturbative method for the Yang Mills Lagrangian

Abstract

Using the properties of the partition function for a Yang Mills theory we compute simple relations among the renormalization constants. In the particular case of the background gauge field method we obtain that the all orders beta function for the gauge coupling constant contains only the first two orders coefficients different than zero and thus corresponds to the 't Hooft scheme.

typos fixed, minor corrections

References in corpus (3)

• Vector Correlator in Massless QCD at Order O(alpha_s^4) and the QED beta-function at five loop
• Renormalization constants and beta functions for the gauge couplings of the Standard Model to three-loop order
• Analytical five-loop expressions for the renormalization group QED $\beta$-function in different renormalization schemes

Cited by in corpus (1)

• Phase transitions for SU(N) gauge theories with arbitrary number of flavors