U(1) gauge theory over discrete space-time and phase transitions

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dc.creatorHu, L. Z.
dc.date2000-01-22
dc.date.accessioned2026-07-07T04:09:22Z
dc.date.available2026-07-07T04:09:22Z
dc.descriptionWe first apply Connes' noncommutative geometry to a finite point space. The explicit form of the action functional of U(1) gauge field on this n-point space is obtained. We then consider the case when the n-point space is replaced by {space-time}\times{n-point space}. This action is shown to relate the Hamiltonian of the continuous-spin formulation of the Potts model. We argue that U(1) gauge theory on the discrete space-time determines the geometric origin of a class of phase transitions.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0001148
dc.identifierhttp://arxiv.org/abs/hep-th/0001148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/49821
dc.subjectHigh Energy Physics - Theory
dc.titleU(1) gauge theory over discrete space-time and phase transitions
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