A MANIFESTLY GAUGE INVARIANT AND UNIVERSAL CALCULUS FORSU(N) YANG–MILLS

2006/02/28 by Oliver J. Rosten · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1142/s0217751x06033040

published as Int.J.Mod.Phys.A21:4627-4762,2006 · 128 pages, 89 figures; v2: published in ijmpa - intro extended, refs added, refinements and minor corrections made; v3 small corrections made compared to published version

openalex publication_date 2006/09/30 · arxiv created 2007/12/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Within the framework of the Exact Renormalization Group, a manifestly gauge invariant calculus is constructed for SU (N) Yang–Mills. The methodology is comprehensively illustrated with a proof, to all orders in perturbation theory, that the β function has no explicit dependence on either the seed action or details of the covariantization of the cutoff. The cancellation of these nonuniversal contributions is done in an entirely diagrammatic fashion.

Citations

• Quantization of non-Abelian gauge theories
• The renormalization group and the ε expansion
• Geometrical effective action and Wilsonian flows
• Gauge invariance, the quantum action principle, and the renormalization group
• Infrared singularities in the renormalization group flow of Yang–Mills theories in the axial gauge
• Exact evolution equation for the effective potential
• Gauge invariance and background field formalism in the exact renormalisation group
• Non-Perturbative Renormalization Group Analysis of the Chiral Critical Behavior in QED
• Nonperturbative renormalization-group approach to frustrated magnets

Cited by

• A resummable β-function for massless QED