Electronic Resource
Springer
The European physical journal
8 (1999), S. 603-611
ISSN:
1434-6036
Keywords:
PACS. 05.40.+j Fluctuation phenomena, random processes, and Brownian motion
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract: We present a variational approach for directed polymers in D transversal dimensions which is used to compute the correction to the mean field theory predictions with broken replica symmetry. The trial function is taken to be a symmetrized version of the mean-field solution, which is known to be exact for . We compute the free energy corresponding to that function and show that the finite-D corrections behave like D -4/3 . It means that the expansion in powers of 1/D should be used with great care here. We hope that the techniques developed in this note will be useful also in the study of spin glasses.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s100510050727
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