Infrared regularization of non-Abelian gauge theories

Abstract

Curci and Ferrari found a unique BRS-invariant action for non-Abelian gauge theories which includes a mass term for the gauge bosons. I analyze this action. While the BRS operator is not nilpotent, the Zinn-Justin equation generalizes in a simple way so that the renormalization of the theory is consistent with the infrared regularization provided by the mass---infrared singularities and ultraviolet infinities are therefore clearly separated. Relations between renormalization constants are derived in dimensional regularization with minimal subtraction. Additional new symmetries allow a simple characterization of physical operators. A new formula is given for the gauge parameter dependence of physical operators.

Plain TeX, 6 pages. Comment added to emphasize that the screening equation is in terms of bare parameters

Cited by in corpus (5)

• On the renormalizability and unitarity of the Curci-Ferrari model for massive vector bosons
• Two loop effective potential for < A^2_μ> in the Landau gauge in quantum chromodynamics
• Non-Commutative U(1) Gauge Theory on R**4 with Oscillator Term and BRST Symmetry
• Some non-renormalization theorems in Curci-Ferrari model
• Implications of Analyticity to Mass Gap, Color Confinement and Infrared Fixed Point in Yang--Mills theory