{
  "id": "2406.07998",
  "version": "v1",
  "published": "2024-06-12T08:45:22.000Z",
  "updated": "2024-06-12T08:45:22.000Z",
  "title": "Scaling properties of (2+1) directed polymers in the low temperature limit",
  "authors": [
    "Victor Dotsenko"
  ],
  "comment": "15 pages",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "In terms of the replica method we consider the low temperature limit of (2+1) directed polymers in a random potential. The proposed approach allows to compute the scaling exponent $\\theta$ of the free energy fluctuations as well as the left tail of its probability distribution function. It is argued that $\\theta = 1/4$ which is slightly different from the zero-temperature numerical value which is close to $0.241$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-12T08:45:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "low temperature limit",
      "directed polymers",
      "scaling properties",
      "free energy fluctuations",
      "probability distribution function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}