AN EXACT RG FORMULATION OF QUANTUM GAUGE THEORY

2001/02/19 by Tim R. Morris, T. R. MORRIS · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1142/s0217751x01004554

published as Int.J.Mod.Phys. A16 (2001) 1899-1912 · 13 pages, 5 figs, ws-p9-75x6-50.cls (included), epsf. Talk presented at the 2nd Conference on Exact RG, Rome 2000

arxiv created 2001/02/19 · openalex publication_date 2001/04/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A gauge invariant Wilsonian effective action is constructed for pure SU(N) Yang-Mills theory by formulating the corresponding flow equation. Manifestly gauge invariant calculations can be performed i.e. without gauge fixing or ghosts. Regularisation is implemented in a novel way which realises a spontaneously broken SU(N|N) supergauge theory. As an example we sketch the computation of the one-loop β function, performed for the first time without any gauge fixing.

Citations

• The renormalization group and the ε expansion
• A gauge invariant exact renormalization group II
• Gauge invariance, the quantum action principle, and the renormalization group
• Exact evolution equation for the effective potential
• A planar diagram theory for strong interactions

Cited by

• A generalised manifestly gauge invariant exact renormalisation group for SU(N) Yang–Mills