Behavior of the thermal gluon self-energy in the Coulomb gauge

Abstract

We study, to one loop order, the behavior of the gluon self-energy in the non covariant Coulomb gauge at finite temperature. The cancellation of the peculiar energy divergences, which arise in such a gauge, is explicitly verified in the complete two point function of the Yang-Mills theory. At high temperatures, the leading T^2 term is determined to be transverse and nonlocal, in agreement with the results obtained in covariant gauges. The coefficient of the sub-leading ln(T) contribution, is non transverse but local and coincides (up to a multiplicative constant) with that of the ultraviolet pole term of the zero temperature amplitude.

8 pages, 2 figures, correction of a minor typo

References in corpus (7)

• Renormalizable Non-Covariant Gauges and Coulomb Gauge Limit
• Structure of the Gluon Propagator at Finite Temperature
• Generalized forward scattering amplitudes in QCD at high temperature
• Retarded Greens Functions and Forward Scattering Amplitudes in Thermal Field Theory
• Split dimensional regularization for the Coulomb gauge at two loops
• High temperature ln(T) contributions in thermal field theory
• Finite temperature gluon self-energy in a class of temporal gauges