Cluster simulation of relativistic fermions in two space-time dimensions

dc.creatorWolff, Ulli
dc.date2007-07-19
dc.date2007-09-06
dc.date.accessioned2026-07-07T10:56:49Z
dc.date.available2026-07-07T10:56:49Z
dc.descriptionFor Majorana-Wilson lattice fermions in two dimensions we derive a dimer representation. This is equivalent to Gattringer's loop representation, but is made exact here on the torus. A subsequent dual mapping leads to yet another representation in which a highly efficient Swendsen-Wang type cluster algorithm is constructed. It includes the possibility of fluctuating boundary conditions. It also allows for improved estimators and makes interesting new observables accessible to Monte Carlo. The algorithm is compatible with the Gross-Neveu as well as an additional Z(2) gauge interaction. In this article numerical demonstrations are reported for critical free fermions.
dc.description24 pages, 3 figures: tiny changes, mainly typos
dc.identifierhttps://arxiv.org/abs/0707.2872
dc.identifierhttp://arxiv.org/abs/0707.2872
dc.identifierNucl.Phys.B789:258-276,2008
dc.identifierdoi:10.1016/j.nuclphysb.2007.08.006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186544
dc.subjectHigh Energy Physics - Lattice
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleCluster simulation of relativistic fermions in two space-time dimensions
dc.typetext

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