Adjoint zero-modes as a tool to understand the Yang-Mills vacuum

Simple item page
dc.creatorPerez, Margarita Garcia
dc.creatorGonzalez-Arroyo, Antonio
dc.creatorSastre, Alfonso
dc.date2007-10-02
dc.date.accessioned2026-07-07T13:02:47Z
dc.date.available2026-07-07T13:02:47Z
dc.descriptionThe use of adjoint (quasi) zero-modes of the Dirac operator to probe the Yangs-Mills vacuum has been recently advocated by Gonzalez-Arroyo and Kirchner. The construction relies on the use of the super-symmetric zero mode which, for classical configurations, provides a direct estimate of the gauge action density. In the lattice implementation of this idea, we show how the results improve considerably if the overlap operator is used instead of the Wilson-Dirac one. Before proceeding to the detailed study of Monte Carlo ensembles, we studied here a series of potentially complicated situations which can be encountered. In particular, we study the case of instanton anti-instanton pairs and analyse how the results depend upon separation. The effect of lattice artifacts is also of concern. Indeed, a statistical analysis of zero modes of thermalised SU(2) configurations at beta=2.57 shows a significant fraction having 4N+2 adjoint zero modes, in contradiction with the index theorem. This violation must be associated to the roughness of the lattice configurations. Indeed, we show that this situation occurs for instantons of size of the order of the lattice spacing.
dc.description7 pages, 8 figures, Presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany
dc.identifierhttps://arxiv.org/abs/0710.0455
dc.identifierhttp://arxiv.org/abs/0710.0455
dc.identifierPoSLAT2007:328,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226563
dc.subjectHigh Energy Physics - Lattice
dc.titleAdjoint zero-modes as a tool to understand the Yang-Mills vacuum
dc.typetext

Files

Collections

arXiv