Admissibility Condition and Nontrivial Indices on a Noncommutative Torus

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dc.creatorNagao, Keiichi
dc.date2005-09-03
dc.date2006-03-04
dc.date.accessioned2026-07-07T10:30:15Z
dc.date.available2026-07-07T10:30:15Z
dc.descriptionWe study the index of the Ginsparg-Wilson Dirac operator on a noncommutative torus numerically. To do this, we first formulate an admissibility condition which suppresses the fluctuation of gauge fields sufficiently small. Assuming this condition, we generate gauge configurations randomly, and find various configurations with nontrivial indices. We show one example of configurations with index 1 explicitly. This result provides the first evidence that nontrivial indices can be naturally defined on the noncommutative torus by utilizing the Ginsparg-Wilson relation and the admissibility condition.
dc.description5 pages, (v2) table 1 replaced, (v3) references added, typos corrected, the final version to appear in Phys.Rev.D
dc.identifierhttps://arxiv.org/abs/hep-th/0509034
dc.identifierhttp://arxiv.org/abs/hep-th/0509034
dc.identifierPhys.Rev.D73:065002,2006
dc.identifierdoi:10.1103/PhysRevD.73.065002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178074
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.titleAdmissibility Condition and Nontrivial Indices on a Noncommutative Torus
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