Search for Fermion Actions on Hyperdiamond Lattices

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dc.creatorBedaque, Paulo F.
dc.creatorBuchoff, Michael I.
dc.creatorTiburzi, Brian C.
dc.creatorWalker-Loud, Andre
dc.date2008-04-08
dc.date.accessioned2026-07-07T11:33:31Z
dc.date.available2026-07-07T11:33:31Z
dc.descriptionFermions moving in a two-dimensional honeycomb lattice (graphene) have, at low energies, chiral symmetry. Generalizing this construction to four dimensions potentially provides fermions with chiral symmetry and only the minimal fermion doubling demanded by the Nielsen-Ninomiya no-go theorem. The practical usefulness of such fermions hinges on whether the action has a necessary set of discrete symmetries of the lattice. If this is the case, one avoids the generation of dimension three and four operators which require fine tuning. We construct hyperdiamond lattice actions with enough symmetries to exclude fine tuning; however, they produce multiple doublings. The limit where the actions exhibit minimal doubling does not possess the requisite symmetry.
dc.description4 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0804.1145
dc.identifierhttp://arxiv.org/abs/0804.1145
dc.identifierPhys.Rev.D78:017502,2008
dc.identifierdoi:10.1103/PhysRevD.78.017502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197923
dc.subjectHigh Energy Physics - Lattice
dc.subjectOther Condensed Matter
dc.subjectHigh Energy Physics - Phenomenology
dc.titleSearch for Fermion Actions on Hyperdiamond Lattices
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