Elsevier

Nuclear Physics B

Volume 190, Issue 4, 7 December 1981, Pages 671-680
Nuclear Physics B

Disorder variables for a non-abelian symmetry group

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Abstract

This paper is concerned with the construction of local disorder operators for two-dimensional statistical mechanical systems, and with the representation of these operators in transfer matrix language. Each internal global symmetry operation leads to a separate disorder variable. This idea is illustrated in the example of the Ashkin-Teller model, in which the symmetry operations form a non-abelian group. There are seven non-trivial disorder operators. Five of these are shown to be simply duals of various kinds of spin operators. Series analysis is used to describe the critical behavior of one of the remaining two operators. No essentially new scaling behavior is observed.

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Work supported in part by the Materials Research Laboratory Program of the National Science Foundation at the University of Chicago.

1

Present address: Department of Physics, FM15, The University of Washington, Seattle, WA 98195.

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