Infinite number of exponents for a spin glass transition

Details Infinite number of exponents for a spin glass transition Infinite number of exponents for a spin glass transition

1996-02-07

arxiv.org/abs/cond-mat/9602053v1

Physics

Condensed Matter

Revtex, 1 postscript figure available on request (email: sb@iopb.ernet.in). To appear in Phys. Rev. B1 Rapid Communication

Scientific paper

We consider the behavior of the overlap of $m (\geq 2)$ 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 $\epsilon = d-2$ expansion without using the replica trick.

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