A demonstration of scheme independence in scalar ERGs
A demonstration of scheme independence in scalar ERGs
A manifestly gauge invariant exact renormalization group for pure $SU(N)$ Yang-Mills theory is proposed, along with the necessary gauge invariant regularisation which implements the effective cutoff. The latter is naturally incorporated by embedding the theory into a spontaneously broken $SU(N|N)$ super-gauge theory, which guarantees finiteness to all orders in perturbation theory. The effective action, from which one extracts the physics, can be computed 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, \eg the choice of covariantisation and the cutoff profile, and, therefore, guides us to a procedure for streamlined calculations.
615-620
Arnone, S.
5df04071-e71a-49fc-8116-20689b579cba
Gatti, A.
68279ba9-587f-4319-b55b-73c4019b23ad
Morris, T.R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
December 2002
Arnone, S.
5df04071-e71a-49fc-8116-20689b579cba
Gatti, A.
68279ba9-587f-4319-b55b-73c4019b23ad
Morris, T.R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Arnone, S., Gatti, A. and Morris, T.R.
(2002)
A demonstration of scheme independence in scalar ERGs.
Acta Physica Slovaca, 52 (6), .
Abstract
A manifestly gauge invariant exact renormalization group for pure $SU(N)$ Yang-Mills theory is proposed, along with the necessary gauge invariant regularisation which implements the effective cutoff. The latter is naturally incorporated by embedding the theory into a spontaneously broken $SU(N|N)$ super-gauge theory, which guarantees finiteness to all orders in perturbation theory. The effective action, from which one extracts the physics, can be computed 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, \eg the choice of covariantisation and the cutoff profile, and, therefore, guides us to a procedure for streamlined calculations.
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Published date: December 2002
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Local EPrints ID: 56998
URI: http://eprints.soton.ac.uk/id/eprint/56998
ISSN: 0323-0465
PURE UUID: 87343c5d-26d3-4a5e-8d9a-f694530b1709
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Date deposited: 13 Aug 2008
Last modified: 09 Jan 2022 02:35
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Author:
S. Arnone
Author:
A. Gatti
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