A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory

Details A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory

2002-09-20

arxiv.org/abs/hep-th/0209162v1

Phys.Rev. D67 (2003) 085003

Physics

High Energy Physics

High Energy Physics - Theory

54 pages, 24 figures, uses JHEP3.cls

Scientific paper

10.1103/PhysRevD.67.085003

We uncover a method of calculation that proceeds at every step without fixing the gauge or specifying details of the regularisation scheme. Results are obtained by iterated use of integration by parts and gauge invariance identities. The initial stages can even be computed diagrammatically. The method is formulated within the framework of an exact renormalization group for SU(N) Yang-Mills gauge theory, incorporating an effective cutoff through a manifest spontaneously broken SU(N|N) gauge invariance. We demonstrate the technique with a compact calculation of the one-loop beta function, achieving a manifestly universal result, and without gauge fixing, for the first time at finite N.

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