A generalised manifestly gauge invariant exact renormalisation group for SU(N) Yang-Mills
A generalised manifestly gauge invariant exact renormalisation group for SU(N) Yang-Mills
We take the manifestly gauge invariant exact renormalisation group previously used to compute the one-loop ? function in SU(N) Yang–Mills without gauge fixing, and generalise it so that it can be renormalised straightforwardly at any loop order. The diagrammatic computational method is developed to cope with general group theory structures, and new methods are introduced to increase its power, so that much more can be done simply by manipulating diagrams. The new methods allow the standard two-loop ? function coefficient for SU(N) Yang–Mills to be computed, for the first time without fixing the gauge or specifying the details of the regularisation scheme.
467-504
Arnone, S.
5df04071-e71a-49fc-8116-20689b579cba
Morris, T.R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Rosten, O.J.
95c3cb59-35ca-434b-a35a-9142fd6c417f
April 2007
Arnone, S.
5df04071-e71a-49fc-8116-20689b579cba
Morris, T.R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Rosten, O.J.
95c3cb59-35ca-434b-a35a-9142fd6c417f
Arnone, S., Morris, T.R. and Rosten, O.J.
(2007)
A generalised manifestly gauge invariant exact renormalisation group for SU(N) Yang-Mills.
The European Physical Journal C, 50 (2), .
(doi:10.1140/epjc/s10052-007-0258-y).
Abstract
We take the manifestly gauge invariant exact renormalisation group previously used to compute the one-loop ? function in SU(N) Yang–Mills without gauge fixing, and generalise it so that it can be renormalised straightforwardly at any loop order. The diagrammatic computational method is developed to cope with general group theory structures, and new methods are introduced to increase its power, so that much more can be done simply by manipulating diagrams. The new methods allow the standard two-loop ? function coefficient for SU(N) Yang–Mills to be computed, for the first time without fixing the gauge or specifying the details of the regularisation scheme.
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Published date: April 2007
Identifiers
Local EPrints ID: 57007
URI: http://eprints.soton.ac.uk/id/eprint/57007
ISSN: 1434-6044
PURE UUID: 14e7452e-c567-42e4-bd40-5dc545fde306
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Date deposited: 13 Aug 2008
Last modified: 16 Mar 2024 02:36
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Author:
S. Arnone
Author:
O.J. Rosten
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