2000/06/30 by Tim R. Morris, Tim R Morris · 7 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #cond-mat #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1088/1126-6708/2000/12/012
published as JHEP 0012:012,2000 · TeX, harvmac, epsf; 73 pages, 25 figs; several clarifying sentences added
arxiv created 2000/11/03 · openalex publication_date 2000/12/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
A manifestly gauge invariant and regularized renormalization group flow equation is constructed for pure SU(N) gauge theory in the large N limit. In this way we make precise and concrete the notion of a non-perturbative gauge invariant continuum Wilsonian effective action. Manifestly gauge invariant calculations may be performed, without gauge fixing, and receive a natural interpretation in terms of fluctuating Wilson loops. Regularization is achieved by covariant higher derivatives and by embedding in a spontaneously broken SU(N|N) supergauge theory; the resulting heavy fermionic vectors are Pauli-Villars fields. We prove the finiteness of this method to one loop and any number of external gauge fields. A duality is uncovered that changes the sign of the squared coupling constant. As a test of the basic formalism we compute the one loop beta function, for the first time without any gauge fixing, and prove its universality with respect to cutoff function.