An exact RG formulation of quantum gauge theory

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 beta function, performed for the first time without any gauge fixing.

13 pages, 5 figs, ws-p9-75x6-50.cls (included), epsf. Talk presented at the 2nd Conference on Exact RG, Rome 2000

References in corpus (1)

• Exact evolution equation for the effective potential

Cited by in corpus (13)

• A Generalised Manifestly Gauge Invariant Exact Renormalisation Group for SU(N) Yang-Mills
• 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
• Gauge invariant regularisation via SU(N|N)
• Manifestly diffeomorphism invariant classical Exact Renormalization Group
• BRST in the Exact RG
• Background independent exact renormalisation
• Quantum gravity, renormalizability and diffeomorphism invariance
• General Computations Without Fixing the Gauge
• Conformal anomaly from gauge fields without gauge fixing
• Properties of a proposed background independent exact renormalization group
• Functional renormalization group approach to color superconducting phase transition
• Flows of multicomponent scalar models with U(1) gauge symmetry