# Quantum gauge symmetry of reducible gauge theory

## TL;DR

This paper develops a gaugeon formalism for the Kalb-Ramond reducible gauge theory, incorporating quantum gauge symmetry and BRST symmetry to unify gauge fixing conditions.

## Contribution

It introduces a BRST symmetric gaugeon formalism for reducible gauge theories, enabling a unified treatment of quantum gauge freedom and gauge fixing.

## Key findings

- Gaugeon fields naturally emerge in the reducible gauge theory.
- BRST symmetry simplifies the gaugeon formalism by replacing subsidiary conditions.
- The formalism maintains the invariance of the action under quantum gauge transformations.

## Abstract

We derive the gaugeon formalism of the Kalb-Ramond field theory, a reducible gauge theory, which discusses the quantum gauge freedom. In gaugeon formalism, theory admits quantum gauge symmetry which leaves the action form-invariant. The BRST symmetric gaugeon formalism is also studied which introduces the gaugeon ghost fields and gaugeon ghosts of ghosts fields. To replace the Yokoyama subsidiary conditions by a single Kugo-Ojima type condition the virtue of BRST symmetry is utilized. Under generalized BRST transformations, we show that the gaugeon fields appear naturally in the reducible gauge theory.