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.
11657-11681
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Rosten, Oliver J.
26ca1633-a7c7-418f-af0d-e65b4ec487ed
29 August 2006
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), .
(doi:10.1088/0305-4470/39/37/020).
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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Published date: 29 August 2006
Organisations:
High Energy Physics
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Local EPrints ID: 64248
URI: http://eprints.soton.ac.uk/id/eprint/64248
ISSN: 0305-4470
PURE UUID: f2e2f9f9-046f-497b-9beb-9eb3632587fe
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Date deposited: 15 Jan 2009
Last modified: 16 Mar 2024 02:36
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Author:
Oliver J. Rosten
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