Perturbative quantum gauge theories on manifolds with boundary

TL;DR

This paper develops a perturbative quantization method for gauge theories on manifolds with boundary, compatible with cutting and gluing, using the BV-BFV formalism, and provides explicit examples including abelian BF theory.

Contribution

It introduces a new quantization scheme for gauge theories on manifolds with boundary within the BV-BFV framework, enabling explicit calculations and applications.

Findings

Compatible with cutting and gluing procedures

Explicit examples of abelian BF theory and perturbations

Extension to non-topological gauge theories

Abstract

This paper introduces a general perturbative quantization scheme for gauge theories on manifolds with boundary, compatible with cutting and gluing, in the cohomological symplectic (BV-BFV) formalism. Explicit examples, like abelian BF theory and its perturbations, including nontopological ones, are presented.