Worldline Approach to Chiral Fermions

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dc.creatorLangfeld, Kurt
dc.creatorDunne, Gerald
dc.creatorGies, Holger
dc.creatorKlingmuller, Klaus
dc.date2007-09-28
dc.date.accessioned2026-07-07T11:37:36Z
dc.date.available2026-07-07T11:37:36Z
dc.descriptionWe propose to apply ``worldline numerics'' to a numerical calculation of quark determinants. The Gross-Neveu model with a U(1) chiral symmetry is considered as a first test. The worldline approach allows for an analytic renormalisation, and only finite parts of the determinant require a numerical calculation. It is shown that the discretisation of the worldlines, which is central to the numerical treatment, preserves chiral symmetry exactly. Numerical results for a kink configuration as a scalar background field are shown and compared with analytical results. The case of finite fermion chemical potential is also briefly discussed.
dc.description7 pages, 2 figures, Presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany
dc.identifierhttps://arxiv.org/abs/0709.4595
dc.identifierhttp://arxiv.org/abs/0709.4595
dc.identifierPoSLAT2007:202,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199261
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleWorldline Approach to Chiral Fermions
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