A lattice implementation of the eta-invariant and effective action for chiral fermions on the lattice

dc.creatorAoyama, Tatsumi
dc.creatorKikukawa, Yoshio
dc.date1999-05-05
dc.date2000-06-07
dc.date.accessioned2026-07-07T03:40:15Z
dc.date.available2026-07-07T03:40:15Z
dc.descriptionWe consider a lattice implementation of the eta-invariant, using the complex phase of the determinant of the simplified domain-wall fermion, which couples to an interpolating five-dimensional gauge field. We clarify the relation to the effective action for chiral Ginsparg-Wilson fermions. The integrability, which holds true for anomaly-free theories in the classical continuum limit, is not assured on the lattice with a finite spacing. A lattice expression for the five-dimensional Chern-Simons term is obtained.
dc.description38 pages, LaTeX, revised version
dc.identifierhttps://arxiv.org/abs/hep-lat/9905003
dc.identifierhttp://arxiv.org/abs/hep-lat/9905003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/39206
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleA lattice implementation of the eta-invariant and effective action for chiral fermions on the lattice
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