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Infinite number of exponents for a spin glass transition

Sutapa Mukherji\cite, Somendra M. Bhattacharjee

cond-matarXiv:cond-mat/9602053

Abstract

We consider the behavior of the overlap of m (≥ 2) paths at the spin glass transition for a directed polymer in a random medium. We show that an infinite number of exponents is required to describe these overlaps. This is done in an ε= d-2 expansion without using the replica trick.

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