A Manifestly Gauge Invariant and Universal Calculus for SU(N) Yang-Mills

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 beta function has no explicit dependence on either the seed action or details of the covariantization of the cutoff. The cancellation of these non-universal contributions is done in an entirely diagrammatic fashion.

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

References in corpus (3)

• Exact evolution equation for the effective potential
• Geometrical effective action and Wilsonian flows
• General Computations Without Fixing the Gauge

Cited by in corpus (9)

• The nonperturbative functional renormalization group and its applications
• Chiral phase boundary of QCD at finite temperature
• Quantum gravity: a fluctuating point of view
• Triviality from the Exact Renormalization Group
• General Computations Without Fixing the Gauge
• Universality From Very General Nonperturbative Flow Equations in QCD
• A Resummable beta-Function for Massless QED
• Properties of a proposed background independent exact renormalization group
• Sensitivity of Nonrenormalizable Trajectories to the Bare Scale