ISSN:
1573-0530
Keywords:
82B23
;
82B27
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract We consider a class of vertex models describing directed lines on a lattice in arbitraryd dimensions, and solve the model exactly for the Cartesian lattice and in the case that each loop of lines carries a fugacity - 1. Our analysis, which can be carried out for arbitrary lattices, is based on an equivalence of the vertex model with a dimer problem. The dimer problem is, in turn, solved using the method of Pfaffians. It is found that the system is frozen below a critical temperatureT cwith the critical exponentα = (3 −d)/2.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00761108
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