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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
A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory
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.
1550-7998
085003-[29pp]
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Arnone, Stefano
d2a9a0a5-34fd-4205-b5f4-107208f44fb2
Gatti, Antonio
ca881118-1418-49bc-98eb-23f315d96d59
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Arnone, Stefano
d2a9a0a5-34fd-4205-b5f4-107208f44fb2
Gatti, Antonio
ca881118-1418-49bc-98eb-23f315d96d59

Morris, Tim R., Arnone, Stefano and Gatti, Antonio (2003) A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory. Physical Review D, 67 (8), 085003-[29pp]. (doi:10.1103/PhysRevD.67.085003).

Record type: Article

Abstract

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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Published date: April 2003

Identifiers

Local EPrints ID: 28835
URI: http://eprints.soton.ac.uk/id/eprint/28835
ISSN: 1550-7998
PURE UUID: 39e8222a-d9c4-47c1-8911-fd43ac9f1702
ORCID for Tim R. Morris: ORCID iD orcid.org/0000-0001-6256-9962

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Date deposited: 08 May 2006
Last modified: 10 Nov 2021 02:36

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Contributors

Author: Tim R. Morris ORCID iD
Author: Stefano Arnone
Author: Antonio Gatti

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