Branched Polymers and Dimensional Reduction

Simple item page
dc.creatorBrydges, David C.
dc.creatorImbrie, John Z.
dc.date2001-07-08
dc.date2002-01-15
dc.date.accessioned2026-07-07T04:28:33Z
dc.date.available2026-07-07T04:28:33Z
dc.descriptionWe establish an exact relation between self-avoiding branched polymers in D+2 continuum dimensions and the hard-core continuum gas at negative activity in D dimensions. We review conjectures and results on critical exponents for D+2 = 2,3,4 and show that they are corollaries of our result. We explain the connection (first proposed by Parisi and Sourlas) between branched polymers in D+2 dimensions and the Yang-Lee edge singularity in D dimensions.
dc.description20 pages, 3 figures; v2: Green's function results added
dc.identifierhttps://arxiv.org/abs/math-ph/0107005
dc.identifierhttp://arxiv.org/abs/math-ph/0107005
dc.identifierAnnals of Mathematics 158, 1019-1039 (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56826
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subject82B41, 82B27, 82B21
dc.titleBranched Polymers and Dimensional Reduction
dc.typetext

Files

Collections

arXiv