Perturbative and nonperturbative correspondences between compact and non-compact sigma-models

Simple item page
dc.creatorNiedermaier, Max
dc.creatorSeiler, Erhard
dc.creatorWeisz, Peter
dc.date2007-03-23
dc.date2007-04-19
dc.date.accessioned2026-07-07T11:44:12Z
dc.date.available2026-07-07T11:44:12Z
dc.descriptionCompact (ferro- and antiferromagnetic) sigma-models and noncompact (hyperbolic) sigma-models are compared in a lattice formulation in dimensions $d \geq 2$. While the ferro- and antiferromagnetic models are essentially equivalent, the qualitative difference to the noncompact models is highlighted. The perturbative and the large $N$ expansions are studied in both types of models and are argued to be asymptotic expansions on a finite lattice. An exact correspondence between the expansion coefficients of the compact and the noncompact models is established, for both expansions, valid to all orders on a finite lattice. The perturbative one involves flipping the sign of the coupling and remains valid in the termwise infinite volume limit. The large $N$ correspondence concerns the functional dependence on the free propagator and holds directly only in finite volume.
dc.description37 pages, some corrections made in discussion of the literature
dc.identifierhttps://arxiv.org/abs/hep-th/0703212
dc.identifierhttp://arxiv.org/abs/hep-th/0703212
dc.identifierNucl.Phys.B788:89-119,2008
dc.identifierdoi:10.1016/j.nuclphysb.2007.05.028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201517
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.titlePerturbative and nonperturbative correspondences between compact and non-compact sigma-models
dc.typetext

Files

Collections

arXiv