Fermion determinant and chiral anomaly on a finite lattice

dc.creatorChiu, Ting-Wai
dc.date1999-06-10
dc.date1999-07-11
dc.date.accessioned2026-07-07T03:40:18Z
dc.date.available2026-07-07T03:40:18Z
dc.descriptionThe fermion determinant and the chiral anomaly of lattice Dirac operator D on a finite lattice are investigated. The condition for D to reproduce correct chiral anomaly at each site of a finite lattice for smooth background gauge fields is that D possesses exact zero modes satisfying the Atiyah-Singer index theorem. This is also the necessary condition for D to have correct fermion determinant (ratio) which plays the important role of incorporating dynamical fermions in the functional integral. We outline a scheme for dynamical fermion simulation of lattice QCD with topologically proper D.
dc.descriptionLatex, 29 pages, 4 eps figures, references added and typo corrected
dc.identifierhttps://arxiv.org/abs/hep-lat/9906007
dc.identifierhttp://arxiv.org/abs/hep-lat/9906007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/39222
dc.subjectHigh Energy Physics - Lattice
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleFermion determinant and chiral anomaly on a finite lattice
dc.typetext

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