Symmetry Breaking in BRST Quantization of SU(3)

TL;DR

This paper introduces new BRST-invariant states for SU(3) gauge theory that break symmetry to potentially generate gauge boson masses, differing from traditional symmetric states used in path integral formulations.

Contribution

It presents a novel class of BRST-invariant states with finite norms that explicitly break SU(3) symmetry, offering a new approach to gauge symmetry breaking.

Findings

States have finite norms unlike traditional states.

Symmetry breaking may induce effective gauge boson masses.

States differ from usual path integral derivations.

Abstract

New BRST-invariant states for SU(3) gauge field theory are presented. The states have finite norms and unlike the states that are usually used to derive path integrals, they break SU(3) symmetry by choosing preferred gauge directions. This symmetry breaking may also give effective masses to some of the gauge bosons of the theory.