Numéro |
J. Phys. I France
Volume 4, Numéro 1, January 1994
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Page(s) | 87 - 100 | |
DOI | https://doi.org/10.1051/jp1:1994122 |
J. Phys. I France 4 (1994) 87-100
Manifolds in random media: beyond the variational approximation
Yadin Y. GoldschmidtDepartment of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A.
(Received 26 August 1993, accepted in final foret 29 September 1993)
Abstract
In this paper we give a closed form expression for the 1/d corrections
to the selfenergy characterizing the correlation function of a manifold
in random media. This amounts to the first confection beyond the
variational approximation. At this time we were able to evaluate
these corrections in the high temperature "phase" of the notorious
toy-model describing a classical particle subject to the influence
of both a harmonic potential and a random potential. Although in
this phase the correct solution is replica symmetric the calculation
is non-trivial. The outcome is compared with previous analytical and
numerical results. The corrections diverge at the "transition" temperature.
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