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Manifestly gauge invariant computations

Manifestly gauge invariant computations
Manifestly gauge invariant computations
Using a gauge invariant exact renormalization group, we show how to compute the effective action, and extract the physics, whilst manifestly preserving gauge invariance at each and every step. As an example we give an elegant computation of the one-loop SU(N) Yang-Mills beta function, for the first time at finite N without any gauge fixing or ghosts. It is also completely independent of the details put in by hand, e.g. the choice of covariantisation and the cutoff profile, and, therefore, guides us to a procedure for streamlined calculations.
1-8
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.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6

Arnone, Stefano, Gatti, Antonio and Morris, Tim R. (2002) Manifestly gauge invariant computations. Pre-print, 1-8.

Record type: Article

Abstract

Using a gauge invariant exact renormalization group, we show how to compute the effective action, and extract the physics, whilst manifestly preserving gauge invariance at each and every step. As an example we give an elegant computation of the one-loop SU(N) Yang-Mills beta function, for the first time at finite N without any gauge fixing or ghosts. It is also completely independent of the details put in by hand, e.g. the choice of covariantisation and the cutoff profile, and, therefore, guides us to a procedure for streamlined calculations.

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More information

Published date: 16 July 2002
Additional Information: arXiv:hep-th/0207154v1

Identifiers

Local EPrints ID: 57000
URI: http://eprints.soton.ac.uk/id/eprint/57000
PURE UUID: a2f6ea2f-2b56-4c8d-b7cb-b54880759c2b
ORCID for Tim R. Morris: ORCID iD orcid.org/0000-0001-6256-9962

Catalogue record

Date deposited: 13 Aug 2008
Last modified: 07 Oct 2020 02:56

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Contributors

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

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