{
  "id": "1704.07096",
  "version": "v1",
  "published": "2017-04-24T09:06:24.000Z",
  "updated": "2017-04-24T09:06:24.000Z",
  "title": "Massive fluctuations in deconfining SU(2) Yang-Mills thermodynamics",
  "authors": [
    "Ingolf Bischer"
  ],
  "comment": "12 pages, 8 figures",
  "categories": [
    "hep-th"
  ],
  "abstract": "We review how vertex constraints inherited from the thermal ground state strongly reduce the integration support of loop four-momenta associated with massive quasi-particles in bubble diagrams constituting corrections to the free thermal quasi-particle pressure. In spite of the observed increasingly suppressing effect when increasing 2-particle-irreducible (2PI) loop order, a quantitative analysis enables us to disprove the conjecture voiced in hep-th/0609033 that the loop expansion would terminate at a finite order. This reveals the necessity to investigate exact expressions of (at least some) higher-loop order diagrams. Explicit calculation shows that although the behaviour of the 2PI three-loop contribution at low temperatures displays hierarchical suppression compared to lower loop-orders, its high-temperature expression instead dominates all lower orders. However, an all-loop-order resummation of a class of 2PI bubble diagrams is shown to yield an analytic continuation of the low-temperature hierarchy to all temperatures in the deconfining phase.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-24T09:06:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "yang-mills thermodynamics",
      "deconfining su",
      "massive fluctuations",
      "thermal ground state strongly reduce",
      "low temperatures displays hierarchical suppression"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}