A Primer for Manifestly Gauge Invariant Computations in SU(N) Yang-Mills

Abstract

It has recently been determined that, within the framework of the Exact Renormalisation Group, continuum computations can be performed to any loop order in SU(N) Yang-Mills theory without fixing the gauge or specifying the details of the regularisation scheme. In this paper, we summarise and refine the powerful diagrammatic techniques which facilitate this procedure and illustrate their application in the context of a calculation of the two-loop beta function.

arXiv comment33 pages, 34 figures; v2: published in jphysa, intro extended, refs added, minor refinements, formatting changed

References in corpus (26)

• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Exact Renormalization Group Equations. An Introductory Review
• Elements of the Continuous Renormalization Group
• Nonperturbative renormalization group approach to frustrated magnets
• Flow Equations and BRS Invariance for Yang-Mills Theories
• A Critical Cosmological Constant from Millimeter Extra Dimensions
• Wilsonian flows and background fields
• A gauge invariant exact renormalization group I
• Gauge Invariance, the Quantum Action Principle, and the Renormalization Group
• Gauge invariance and background field formalism in the exact renormalisation group
• BRS symmetry for Yang-Mills theory with exact renormalization group
• Exact Scheme Independence
• Renormalisation group flows for gauge theories in axial gauges
• Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance
• A gauge invariant exact renormalization group II
• A Manifestly Gauge Invariant, Continuum Calculation of the SU(N) Yang-Mills two-loop beta function
• A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory
• Exact scheme independence at two loops
• Gauge invariant regularisation via SU(N|N)
• Exact scheme independence at one loop
• The beta function of N=1 SYM in Differential Renormalization
• Manifestly gauge invariant QED
• A manifestly gauge invariant exact renormalization group
• Scheme independence as an inherent redundancy in quantum field theory
• The Manifestly Gauge Invariant Exact Renormalisation Group
• The Gauge Invariant ERG

Cited by in corpus (12)

• A Generalised Manifestly Gauge Invariant Exact Renormalisation Group for SU(N) Yang-Mills
• Manifestly diffeomorphism invariant classical Exact Renormalization Group
• Some non-renormalization theorems in Curci-Ferrari model
• Triviality from the Exact Renormalization Group
• A Manifestly Gauge Invariant and Universal Calculus for SU(N) Yang-Mills
• Scheme Independence to all Loops
• General Computations Without Fixing the Gauge
• Universality From Very General Nonperturbative Flow Equations in QCD
• A Resummable beta-Function for Massless QED
• Conformal anomaly from gauge fields without gauge fixing
• Properties of a proposed background independent exact renormalization group
• Sensitivity of Nonrenormalizable Trajectories to the Bare Scale