Relating Calculations and Renormalization in Axial and Lorentz Gauges and Gauge-independence

Abstract

We study futher the recently developed formalism for the axial gauges toward the comparison of calculations and of the renormalization procedure in the axial and the Lorentz gauges. We do this in the 1-loop approximation for the wavefunction renormalization and the identity of the beta-functions in the two gauges. We take as the starting point the relation between the Green's functions in the two gauges obtained earlier. We obtain the relation between the 1-loop propagators in the two gauges and locate those diagrams that contribute to the difference between the wave-function renormalizations in the two gauges. We further employ this relation between the Green's functions to the case of the 3-point function and prove the identity of the beta functions in the two gauges.

20 pages, 2 figues, Latex2e

References in corpus (6)

• Application of finite field-dependent BRS transformations to problems of the Coulomb gauge
• Correct Treatment of 1/(η\cdot k)^p Singularities in the Axial Gauge Propagator
• A Derivation of the Correct Treatment of 1/(eta.k)^p Singularities in Axial Gauges
• Additional considerations in the definition and renormalization of non-covariant gauges
• Some Observations on Non-covariant Gauges and the epsilon-term
• Absence of Nonlocal Counter-terms in the Gauge Boson Propagator in Axial -type Gauges