Path Integral Approach to Residual Gauge Fixing

Abstract

In this paper we study the question of residual gauge fixing in the path integral approach for a general class of axial-type gauges including the light-cone gauge. We show that the two cases -- axial-type gauges and the light-cone gauge -- lead to very different structures for the explicit forms of the propagator. In the case of the axial-type gauges, fixing the residual symmetry determines the propagator of the theory completely. On the other hand, in the light-cone gauge there is still a prescription dependence even after fixing the residual gauge symmetry, which is related to the existence of an underlying global symmetry.

revtex 13pages, slightly expanded discussion, version to be published in Physical Review D

References in corpus (9)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Light-Front-Quantized QCD in Light-Cone Gauge: The Doubly Transverse Gauge Propagator
• A Unitary and Renormalizable Theory of the Standard Model in Ghost-Free Light-Cone Gauge
• Light-front field theories at finite temperature
• Thermal Field Theory and Generalized Light Front Coordinates
• Light-front gauge propagator reexamined
• Light-front Schwinger Model at Finite Temperature
• Quantization in a General Light-front Frame
• Surveillance on the light-front gauge fixing Lagrangians

Cited by in corpus (4)

• One-loop renormalization in a toy model of Horava-Lifshitz gravity
• Regularization of the Light-Cone Gauge Gluon Propagator Singularities Using Sub-Gauge Conditions
• The Epstein-Glaser causal approach to the Light-Front QED${}_4$. I: Free theory
• Propagators with the Mandelstam-Leibbrandt Prescription in the Light-Cone Gauge