A Ginsparg-Wilson Approach to Lattice Chern-Simons Theory

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dc.creatorBietenholz, W.
dc.creatorSodano, P.
dc.date2003-05-07
dc.date.accessioned2026-07-07T03:38:56Z
dc.date.available2026-07-07T03:38:56Z
dc.descriptionThe concept of lattice modified symmetry formulations is adapted to the parity symmetry of gauge fields and applied to the pure Abelian Chern-Simons action in three dimensions. We derive an analogue of the Ginsparg-Wilson relation for the parity anti-symmetry, which is motivated from the perfect lattice action, and which we denote as the Chern-Simons-Ginsparg-Wilson relation (CSGWR). In addition to the overlap type solutions, we construct explicitly simple and local polynomial solutions to the CSGWR. We show that these actions are exactly invariant under a lattice modified parity transformation. That transformation is local as well, and it turns into the standard parity transformation in the continuum limit.
dc.description17 pages, Latex, no figures
dc.identifierhttps://arxiv.org/abs/hep-lat/0305006
dc.identifierhttp://arxiv.org/abs/hep-lat/0305006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/38738
dc.subjectHigh Energy Physics - Lattice
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.titleA Ginsparg-Wilson Approach to Lattice Chern-Simons Theory
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