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The directed polymer problem in general dimension

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  • Perlsman, Ehud
  • Schwartz, Moshe

Abstract

A real space RG treatment of the directed polymer problem is presented. In the zero temperature regime (strong coupling) no upper critical dimension is found. The method that is based on the exact results in 1 + 1 dimensions yields in 2 + 1 and 3 + 1 dimensions excellent agreement with published numerical results.

Suggested Citation

  • Perlsman, Ehud & Schwartz, Moshe, 1996. "The directed polymer problem in general dimension," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 234(1), pages 523-528.
    • Handle: RePEc:eee:phsmap:v:234:y:1996:i:1:p:523-528
    DOI: 10.1016/S0378-4371(96)00237-3
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    1. Bray, R.M. & Marsden, M.E. & Peterson, M.R., 1991. "Standardized comparisons of the use of alcohol, drugs, and cigarettes among military personnel and civilians," American Journal of Public Health, American Public Health Association, vol. 81(7), pages 865-869.
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