Gauge invariance and background field formalism in the exact renormalisation group

2000/09/30 by Filipe Freire, Daniel F. Litim, Jan M. Pawlowski · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/s0370-2693(00)01231-4

published as Phys.Lett. B495 (2000) 256-262 · version to be published in PLB

arxiv created 2000/10/27 · openalex publication_date 2000/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We discuss gauge symmetry and Ward-Takahashi identities for Wilsonian flows in pure Yang-Mills theories. The background field formalism is used for the construction of a gauge invariant effective action. The symmetries of the effective action under gauge transformations for both the gauge field and the auxiliary background field are separately evaluated. We examine how the symmetry properties of the full theory are restored in the limit where the cut-off is removed.

Cited by

• Towards a renormalizable standard model without a fundamental Higgs scalar
• Non-perturbative thermal flows and resummations
• A MANIFESTLY GAUGE INVARIANT AND UNIVERSAL CALCULUS FORSU(N) YANG–MILLS
• Photon Defects in Noncommutative Standard Model Candidates
• Quark confinement from colour confinement
• Asymptotic freedom of Yang–Mills theory with gravity