Non-Abelian random polygons: A new model in statistical physics

Authors
Schoenmaker, W Magnus, W
Citation
W. Schoenmaker et W. Magnus, Non-Abelian random polygons: A new model in statistical physics, J STAT PHYS, 94(3-4), 1999, pp. 389-413
Citations number
19
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
94
Issue
3-4
Year of publication
1999
Pages
389 - 413
Database
ISI
SICI code
0022-4715(199902)94:3-4<389:NRPANM>2.0.ZU;2-B
Abstract
A model in statistical physics is presented based on assigning non-Abelian phase factors to the turning points of polygons in three dimensions. This m odel allows for an exact solution and exhibits an unexpectedly rich phase s tructure. The model as well as the solution are obtained by a generalizatio n of the methods of Kac and Ward and by mapping the problem to a Markov pro cess as was done by Feynman for the two-dimensional Ising model.