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

Stefano Arnone, Antonio Gatti, and Tim R. Morris
Phys. Rev. D 67, 085003 – Published 14 April 2003
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Abstract

We uncover a method of calculation that proceeds at every step without fixing the gauge or specifying details of the regularization 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.

  • Received 30 October 2002

DOI:https://doi.org/10.1103/PhysRevD.67.085003

©2003 American Physical Society

Authors & Affiliations

Stefano Arnone*, Antonio Gatti, and Tim R. Morris

  • Department of Physics and Astronomy, University of Southampton, Highfield, Southampton SO17 1BJ, United Kingdom

  • *Email address: arnone@soton.ac.uk
  • Email address: gatti@soton.ac.uk
  • Email address: T.R.Morris@soton.ac.uk

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Issue

Vol. 67, Iss. 8 — 15 April 2003

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