2011/11/30 by Andrea Quadri
Physics and Astronomy · #BRST quantization #Background field method #Black Holes and Theoretical Physics #Canonical transformation #Gauge theory #Lattice (music) #Lattice field theory #Mathematical physics #Non-perturbative #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum field theory #Quantum mechanics #Yang–Mills theory #hep-th
paper · pdf · doi:10.1088/1742-6596/343/1/012097
References added. RevTeX, 15 pages. Contributed to Quantum Theory and Symmetries 7, August 7-13, 2011, Prague
arxiv created 2011/12/08 · openalex publication_date 2012/02/08 · arxiv updated 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that in the background field method (BFM) quantization of Yang-Mills theory the dependence of the vertex functional on the background field is controlled by a canonical transformation w.r.t. the Batalin-Vilkovisky bracket, naturally associated with the BRST symmetry of the theory. Since it only relies on the Slavnov-Taylor identity of the model, this result holds both in perturbation theory and in the non-perturbative regime. It provides a general consistent framework for the systematic implementation of the BFM in non-perturbative approaches to QCD, like e.g. those based on the Schwinger-Dyson equations or the lattice, in the presence of topologically non-trivial background configurations. The analysis is carried out in an arbitrary R ξ -gauge.