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Manifestly gauge-invariant QCD

Manifestly gauge-invariant QCD
Manifestly gauge-invariant QCD
Building on recent work in SU(N) Yang–Mills theory, we construct a manifestly gauge-invariant exact renormalization group for QCD. A gauge-invariant cut-off is constructed by embedding the physical gauge theory in a spontaneously broken SU(N|N) gauge theory, regularized by covariant higher derivatives. Intriguingly, the construction is most efficient if the number of flavours is a multiple of the number of colours. The formalism is illustrated with a very compact calculation of the one-loop beta-function, achieving a manifestly universal result and without fixing the gauge.
0305-4470
11657-11681
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Rosten, Oliver J.
26ca1633-a7c7-418f-af0d-e65b4ec487ed
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Rosten, Oliver J.
26ca1633-a7c7-418f-af0d-e65b4ec487ed

Morris, Tim R. and Rosten, Oliver J. (2006) Manifestly gauge-invariant QCD. Journal of Physics A: Mathematical and General, 39 (37), 11657-11681. (doi:10.1088/0305-4470/39/37/020).

Record type: Article

Abstract

Building on recent work in SU(N) Yang–Mills theory, we construct a manifestly gauge-invariant exact renormalization group for QCD. A gauge-invariant cut-off is constructed by embedding the physical gauge theory in a spontaneously broken SU(N|N) gauge theory, regularized by covariant higher derivatives. Intriguingly, the construction is most efficient if the number of flavours is a multiple of the number of colours. The formalism is illustrated with a very compact calculation of the one-loop beta-function, achieving a manifestly universal result and without fixing the gauge.

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More information

Published date: 29 August 2006
Organisations: High Energy Physics

Identifiers

Local EPrints ID: 64248
URI: http://eprints.soton.ac.uk/id/eprint/64248
DOI: doi:10.1088/0305-4470/39/37/020
ISSN: 0305-4470
PURE UUID: f2e2f9f9-046f-497b-9beb-9eb3632587fe
ORCID for Tim R. Morris: ORCID iD orcid.org/0000-0001-6256-9962

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Date deposited: 15 Jan 2009
Last modified: 07 Oct 2020 02:56

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Author: Tim R. Morris ORCID iD
Author: Oliver J. Rosten

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