{
  "id": "hep-ph/9409434",
  "version": "v1",
  "published": "1994-09-28T19:58:52.000Z",
  "updated": "1994-09-28T19:58:52.000Z",
  "title": "Solution to the Perturbative Infrared Catastrophe of Hot Gauge Theories",
  "authors": [
    "Eric Braaten"
  ],
  "comment": "11 pages LaTeX, NUHEP-TH-94-24",
  "journal": "Phys.Rev.Lett.74:2164-2167,1995",
  "doi": "10.1103/PhysRevLett.74.2164",
  "categories": [
    "hep-ph",
    "hep-lat",
    "hep-th"
  ],
  "abstract": "The free energy of a nonabelian gauge theory at high temperature $T$ can be calculated to order $g^5$ using resummed perturbation theory, but the method breaks down at order $g^6$. A new method is developed for calculating the free energy to arbitrarily high accuracy in the high temperature limit. It involves the construction of a sequence of two effective field theories by first integrating out the momentum scale $T$ and then integrating out the momentum scale $g T$. The free energy decomposes into the sum of three terms, corresponding to the momentum scales $T$, $gT$, and $g^2T$. The first term can be calculated as a perturbation series in $g^2(T)$, where $g(T)$ is the running coupling constant. The second term in the free energy can be calculated as a perturbation series in $g(T)$, beginning at order $g^3$. The third term can also be expressed as a series in $g(T)$ beginning at order $g^6$, with coefficients that can be calculated using lattice simulations of 3-dimensional QCD. Leading logarithms of $T/(gT)$ and of $gT/(g^2T)$ can be summed up using renormalization group equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1994-09-28T19:58:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gauge theory",
      "hot gauge theories",
      "perturbative infrared catastrophe",
      "momentum scale",
      "perturbation series"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 377416
    }
  }
}