# Infinite number of exponents for a spin-glass transition.

@article{Mukherji1996InfiniteNO,
title={Infinite number of exponents for a spin-glass transition.},
author={Mukherji and Bhattacharjee},
journal={Physical review. B, Condensed matter},
year={1996},
volume={53 10},
pages={
R6002-R6005
}
}
• Published 7 February 1996
• Mathematics
• Physical review. B, Condensed matter
We consider the behavior of the overlap of $m(g~2)$ 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 $\ensuremath{\epsilon}=d\ensuremath{-}2$ expansion without using the replica trick.
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