A lattice fermion without doubling

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dc.creatorHayashi, A.
dc.creatorHashimoto, T.
dc.creatorHoribe, M.
dc.creatorYamamoto, H.
dc.date1996-04-09
dc.date.accessioned2026-07-07T03:39:37Z
dc.date.available2026-07-07T03:39:37Z
dc.descriptionA free fermion without doubler is formulated on 1+D dimensional discrete Minkowski space-time. The action is not hermitian but causes no harm. In 1+3 dimensional massless case the equation describes a single species of Dirac particle in the continuous space-time limit. In 1+1 dimensional massless case the equation is the same as the automaton equation by 't Hooft and describes a chiral fermion. The time evolution operator is unitary and the norm is conserved. For interacting fermions with gauge fields the evolution operator is not unitary. If it is considered as an approximation for the theory on continuous space-time, the path integral formalism can be applied, where the fermion without doubling is used. Consequences of loosening the unitarity condition on the time evolution operator is discussed.
dc.description20pages, REVTEX
dc.identifierhttps://arxiv.org/abs/hep-lat/9604005
dc.identifierhttp://arxiv.org/abs/hep-lat/9604005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/39006
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleA lattice fermion without doubling
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