{
  "id": "1703.06411",
  "version": "v1",
  "published": "2017-03-19T10:02:36.000Z",
  "updated": "2017-03-19T10:02:36.000Z",
  "title": "Phases of circle-compactified QCD with adjoint fermions at finite density",
  "authors": [
    "Takuya Kanazawa",
    "Mithat Ünsal",
    "Naoki Yamamoto"
  ],
  "comment": "16 pages, 11 figures",
  "categories": [
    "hep-th",
    "hep-lat",
    "hep-ph"
  ],
  "abstract": "We study chemical-potential dependence of confinement and mass gap in QCD with adjoint fermions in spacetime with one spatial compact direction. By calculating the one-loop effective potential for the Wilson line in the presence of chemical potential, we show that a center-symmetric phase and a center-broken phase alternate when the chemical potential in unit of the compactification scale is increased. In the center-symmetric phase we use semiclassical methods to show that photons in the magnetic bion plasma acquire a mass gap that grows with the chemical potential as a result of anisotropic interactions between monopole-instantons. For the neutral fermionic sector which remains gapless perturbatively, there are two possibilities at non-perturbative level. Either to remain gapless (unbroken global symmetry), or to undergo a novel superfluid transition through a four-fermion interaction (broken global symmetry). If the latter is the case, this leads to an energy gap of quarks proportional to a new nonperturbative scale $L^{-1}\\exp[-1/(g^4 \\mu L)]$, where $L$ denotes the circumference of $S^1$, the low-energy is described as a Nambu-Goldstone mode associated with the baryon number, and there exists a new type of BEC-BCS crossover of the diquark pairing as a function of the compactification scale at small chemical potential.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-19T10:02:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "adjoint fermions",
      "finite density",
      "circle-compactified qcd",
      "chemical potential",
      "mass gap"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}