The Non-Local Massive Yang-Mills Action as a Gauged Sigma Model

dc.creatorEsole, Mboyo
dc.date2004-07-09
dc.date.accessioned2026-07-07T04:17:09Z
dc.date.available2026-07-07T04:17:09Z
dc.descriptionWe show that the massive Yang--Mills action having as a mass term the non-local operator introduced by Gubarov, Stodolsky, and Zakharov is classically equivalent to a principal gauged sigma model. The non-local mass corresponds to the topological term of the sigma model. The latter is obtained once the degrees of freedom implicitly generated in the non-local action are explicitly implemented as group elements. The non-local action is recovered by integrating out these group elements. In contrast to the usual gauge-fixed treatment, the sigma model point of view provides a safe framework in which calculation are tractable while keeping a full control of gauge-invariance. It shows that the non-local massive Yang--Mills action is naturally associated with the low-energy description of QCD in the Chiral Perturbation Theory approach. Moreover, the sigma model admits solutions called center vortices familiar in different (de)-confinement and chiral symmetry breaking scenarios. This suggests that the non-local operator introduced by Gubarov, Stodolsky, and Zakharov might be sensitive to center vortices configurations.
dc.description1+10 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0407069
dc.identifierhttp://arxiv.org/abs/hep-th/0407069
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52639
dc.subjectHigh Energy Physics - Theory
dc.titleThe Non-Local Massive Yang-Mills Action as a Gauged Sigma Model
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