Wilson Action of Lattice Gauge Fields with An Additional Term from Noncommutative Geometry

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dc.creatorDai, Jian
dc.creatorSong, Xing-Chang
dc.date2001-01-26
dc.date.accessioned2026-07-07T04:11:16Z
dc.date.available2026-07-07T04:11:16Z
dc.descriptionDifferential structure of lattices can be defined if the lattices are treated as models of noncommutative geometry. The detailed construction consists of specifying a generalized Dirac operator and a wedge product. Gauge potential and field strength tensor can be defined based on this differential structure. When an inner product is specified for differential forms, classical action can be deduced for lattice gauge fields. Besides the familiar Wilson action being recovered, an additional term, related to the non-unitarity of link variables and loops spanning no area, emerges.
dc.descriptionLaTex2e, 12 pages, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0101184
dc.identifierhttp://arxiv.org/abs/hep-th/0101184
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50518
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.titleWilson Action of Lattice Gauge Fields with An Additional Term from Noncommutative Geometry
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