Manifestly Gauge Invariant Exact Renormalization Group
S. Arnone, T. Morris, and O. Rosten. (2006)cite arxiv:hep-th/0606181
Comment: 24 pages, 14 figures, Fields Inst style file; Talk presented by TRM
at RG2005, Helsinki, Finland, September 2005 and Renormalization and
Universality in Mathematical Physics Workshop, Fields Institute, Toronto,
Canada, October 2005, extended to include more details on the strong
renormalized coupling expansion. To be publ. as proceedings by the Fields
Institute.
Abstract
We construct a manifestly gauge invariant Exact Renormalization Group for
SU(N) Yang-Mills theory, in a form suitable for calculations without gauge
fixing at any order of perturbation theory. The effective cutoff is
incorporated via a manifestly realised spontaneously broken SU(N|N) gauge
invariance. Diagrammatic methods are developed which allow the calculations to
proceed without specifying the precise form of the cutoff structure. We confirm
consistency by computing for the first time both the one and two loop beta
function coefficients without fixing the gauge or specifying the details of the
cutoff. We sketch how to incorporate quarks and thus compute in QCD. Finally we
analyse the renormalization group behaviour as the renormalized coupling
becomes large, and show that confinement is a consequence if and only if the
coupling diverges in the limit that all modes are integrated out. We also
investigate an expansion in the inverse square renormalized coupling, and show
that under general assumptions it yields a new non-perturbative approximation
scheme corresponding to expanding in 1/Łambda_QCD.
Description
Manifestly Gauge Invariant Exact Renormalization Group
cite arxiv:hep-th/0606181
Comment: 24 pages, 14 figures, Fields Inst style file; Talk presented by TRM
at RG2005, Helsinki, Finland, September 2005 and Renormalization and
Universality in Mathematical Physics Workshop, Fields Institute, Toronto,
Canada, October 2005, extended to include more details on the strong
renormalized coupling expansion. To be publ. as proceedings by the Fields
Institute
%0 Generic
%1 Arnone2006
%A Arnone, Stefano
%A Morris, Tim R.
%A Rosten, Oliver J.
%D 2006
%K GaugeSymmetry GaugeTheory RGFlow Symmetry
%T Manifestly Gauge Invariant Exact Renormalization Group
%U http://arxiv.org/abs/hep-th/0606181
%X We construct a manifestly gauge invariant Exact Renormalization Group for
SU(N) Yang-Mills theory, in a form suitable for calculations without gauge
fixing at any order of perturbation theory. The effective cutoff is
incorporated via a manifestly realised spontaneously broken SU(N|N) gauge
invariance. Diagrammatic methods are developed which allow the calculations to
proceed without specifying the precise form of the cutoff structure. We confirm
consistency by computing for the first time both the one and two loop beta
function coefficients without fixing the gauge or specifying the details of the
cutoff. We sketch how to incorporate quarks and thus compute in QCD. Finally we
analyse the renormalization group behaviour as the renormalized coupling
becomes large, and show that confinement is a consequence if and only if the
coupling diverges in the limit that all modes are integrated out. We also
investigate an expansion in the inverse square renormalized coupling, and show
that under general assumptions it yields a new non-perturbative approximation
scheme corresponding to expanding in 1/Łambda_QCD.
@misc{Arnone2006,
abstract = { We construct a manifestly gauge invariant Exact Renormalization Group for
SU(N) Yang-Mills theory, in a form suitable for calculations without gauge
fixing at any order of perturbation theory. The effective cutoff is
incorporated via a manifestly realised spontaneously broken SU(N|N) gauge
invariance. Diagrammatic methods are developed which allow the calculations to
proceed without specifying the precise form of the cutoff structure. We confirm
consistency by computing for the first time both the one and two loop beta
function coefficients without fixing the gauge or specifying the details of the
cutoff. We sketch how to incorporate quarks and thus compute in QCD. Finally we
analyse the renormalization group behaviour as the renormalized coupling
becomes large, and show that confinement is a consequence if and only if the
coupling diverges in the limit that all modes are integrated out. We also
investigate an expansion in the inverse square renormalized coupling, and show
that under general assumptions it yields a new non-perturbative approximation
scheme corresponding to expanding in 1/\Lambda_{QCD}.
},
added-at = {2009-03-30T11:02:46.000+0200},
author = {Arnone, Stefano and Morris, Tim R. and Rosten, Oliver J.},
biburl = {https://www.bibsonomy.org/bibtex/2fe6fba0a4bc768020dcf35f0b1d2010e/gber},
description = {Manifestly Gauge Invariant Exact Renormalization Group},
interhash = {51621e8b7915f7b250332cd2fc90ba90},
intrahash = {fe6fba0a4bc768020dcf35f0b1d2010e},
keywords = {GaugeSymmetry GaugeTheory RGFlow Symmetry},
note = {cite arxiv:hep-th/0606181
Comment: 24 pages, 14 figures, Fields Inst style file; Talk presented by TRM
at RG2005, Helsinki, Finland, September 2005 and Renormalization and
Universality in Mathematical Physics Workshop, Fields Institute, Toronto,
Canada, October 2005, extended to include more details on the strong
renormalized coupling expansion. To be publ. as proceedings by the Fields
Institute},
timestamp = {2009-03-30T11:02:46.000+0200},
title = {Manifestly Gauge Invariant Exact Renormalization Group},
url = {http://arxiv.org/abs/hep-th/0606181},
year = 2006
}