Dirac operator and Ising model on a compact 2D random lattice

Simple item page
dc.creatorBogacz, L.
dc.creatorBurda, Z.
dc.creatorJurkiewicz, J.
dc.creatorKrzywicki, A.
dc.creatorPetersen, C.
dc.creatorPetersson, B.
dc.date2001-10-12
dc.date.accessioned2026-07-07T03:38:36Z
dc.date.available2026-07-07T03:38:36Z
dc.descriptionLattice formulation of a fermionic field theory defined on a randomly triangulated compact manifold is discussed, with emphasis on the topological problem of defining spin structures on the manifold. An explicit construction is presented for the two-dimensional case and its relation with the Ising model is discussed. Furthermore, an exact realization of the Kramers-Wannier duality for the two-dimensional Ising model on the manifold is considered. The global properties of the field are discussed. The importance of the GSO projection is stressed. This projection has to be performed for the duality to hold.
dc.descriptionPresented at the 41th Zakopane School of Theoretical Physics, 49 pages, Latex + 22 eps figures
dc.identifierhttps://arxiv.org/abs/hep-lat/0110063
dc.identifierhttp://arxiv.org/abs/hep-lat/0110063
dc.identifierActa Phys.Polon. B32 (2001) 4121-4168
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/38596
dc.subjectHigh Energy Physics - Lattice
dc.titleDirac operator and Ising model on a compact 2D random lattice
dc.typetext

Files

Collections

arXiv