Gaugeon formalism for the two-form gauge fields

TL;DR

This paper develops a BRST symmetric gaugeon formalism for two-form gauge fields, introducing vector gaugeon fields to incorporate quantum gauge freedom and allow gauge parameter adjustments.

Contribution

It introduces a novel gaugeon formalism for two-form gauge fields with higher derivative gaugeon fields and maintains BRST symmetry, expanding the theoretical framework.

Findings

Inclusion of vector gaugeon fields enables quantum gauge freedom.

Higher derivative gaugeon field allows gauge parameter change.

The formalism preserves BRST symmetry and gauge invariance.

Abstract

We present a BRST symmetric gaugeon formalism for the two-form gauge fields. A set of vector gaugeon fields is introduced as a quantum gauge freedom. One of the gaugeon fields satisfies a higher derivative field equation; this property is necessary to change the gauge-fixing parameter of the two-form gauge field. A naive Lagrangian for the vector gaugeon fields is itself invariant under a gauge transformation for the vector gaugeon field. The Lagrangian of our theory includes the gauge-fixing terms for the gaugeon fields and corresponding Faddeev--Popov ghosts terms.