The Gluon Propagator in the Coulomb Gauge

Abstract

We give the results for all the one-loop propagators, including finite parts, in the Coulomb gauge. In finite parts we find new non-rational functions in addition to the single logarithms of the Feynman gauge. Of course, the two gauges must agree for any gauge invariant function. We revise the manuscript hep-th/0311118v2 and Eur.Phys.J.C37, 307-313(2004) in accordance with the notation and correct Feynman rules for the Coulomb gauge in Minkowski space found in [16]. The high-energy behaviour of the proper two-point functions is added in Appendix C.

14 pages, 9 figures, discussion extented, accepted for publication in Eur. Phys. J. C

References in corpus (2)

• Renormalization-group Calculation of Color-Coulomb Potential
• $D_{00}$ Propagator in the Coulomb Gauge

Cited by in corpus (8)

• The three-quark static potential in perturbation theory
• Two-Point Functions of Coulomb Gauge Yang-Mills Theory
• The Polyakov loop at next-to-next-to leading order
• Renormalization of the cyclic Wilson loop
• Cancellation of energy-divergences in Coulomb gauge QCD
• Renormalization in Coulomb-gauge QCD within the Lagrangian formalism
• Effective Field Theories of QCD for Heavy Quarkonia at Finite Temperature
• On the connection between Hamilton and Lagrange formalism in Quantum Field Theory