Stochastic formulation of the renormalization group: supersymmetric structure and topology of the space of couplings

Simple item page
dc.creatorGaite, Jose
dc.date2004-04-27
dc.date.accessioned2026-07-07T11:59:16Z
dc.date.available2026-07-07T11:59:16Z
dc.descriptionThe exact or Wilson renormalization group equations can be formulated as a functional Fokker-Planck equation in the infinite-dimensional configuration space of a field theory, suggesting a stochastic process in the space of couplings. Indeed, the ordinary renormalization group differential equations can be supplemented with noise, making them into stochastic Langevin equations. Furthermore, if the renormalization group is a gradient flow, the space of couplings can be endowed with a supersymmetric structure a la Parisi-Sourlas. The formulation of the renormalization group as supersymmetric quantum mechanics is useful for analysing the topology of the space of couplings by means of Morse theory. We present simple examples with one or two couplings.
dc.description13 pages, based on contribution to "Progress in Supersymmetric Quantum Mechanics" (Valladolid U.), accepted in Journal of Physics A
dc.identifierhttps://arxiv.org/abs/hep-th/0404212
dc.identifierhttp://arxiv.org/abs/hep-th/0404212
dc.identifierJ.Phys.A37:10409-10420,2004
dc.identifierdoi:10.1088/0305-4470/37/43/027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206504
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.titleStochastic formulation of the renormalization group: supersymmetric structure and topology of the space of couplings
dc.typetext

Files

Collections

arXiv