Directed walks and vertex models: renormalization, multicriticality and beyond

Bhattacharjee, Somendra M. (1992) Directed walks and vertex models: renormalization, multicriticality and beyond Physica A: Statistical and Theoretical Physics, 186 (1-2). pp. 183-196. ISSN 0378-4371

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037843...

Related URL: http://dx.doi.org/10.1016/0378-4371(92)90374-Y

Abstract

We discuss the exact renormalization of interacting directed random walks (DRW) (using dimensional regularization), and the exact results for the multicritical points. We discuss how these exact results of the DRW problem can give exact critical exponents ofthe ferroelectric five vertex model in all dimensions. The multicritical DRW's lead to a new class of vertex models whose multicritical exponents can be computed exactly. A random vertex model and its connection to the DRW problem in a random medium is also discussed.

Item Type:Article
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ID Code:3069
Deposited On:09 Oct 2010 10:11
Last Modified:19 May 2011 10:32

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