Ultraviolet Behavior of the Gluon Propagator in the Maximal Abelian Gauge

Abstract

The ultraviolet asymptotic behavior of the gluon propagator is evaluated in the maximal Abelian gauge in the SU(2) gauge theory on the basis of the renormalization-group improved perturbation theory at the one-loop level. Square-root singularities obtained in the Euclidean domain are attributed to artifacts of the one-loop approximation in the maximal Abelian gauge and the standard normalization condition for the propagator used in our study. It is argued that this gauge is essentially nonperturbative.

15 pages, 2 figures

References in corpus (3)

• Abelian dominance and gluon propagators in the Maximally Abelian gauge of SU(2) lattice gauge theory
• The Most General and Renormalizable Maximal Abelian Gauge
• Implications of Analyticity to Mass Gap, Color Confinement and Infrared Fixed Point in Yang--Mills theory