English

Decompactification of space or time in large N QCD_2

High Energy Physics - Theory 2009-10-31 v1 High Energy Physics - Phenomenology

Abstract

QCD_2 with fundamental quarks on a cylinder is solved to leading order in the 1/N expansion, including the zero mode gluons. As a result of the non-perturbative dynamics of these gauge degrees of freedom, the compact space-time direction gets effectively decompactified. In a thermodynamic interpretation, this implies that there is no pressure of order N and that the chiral condensate of order N is temperature independent. These findings are consistent with confinement of quarks, rule out both chiral and deconfining phase transitions in the finite temperature 't Hooft model, and help to resolve some controversial issues in the literature

Keywords

Cite

@article{arxiv.hep-th/0001162,
  title  = {Decompactification of space or time in large N QCD_2},
  author = {Verena Schoen and Michael Thies},
  journal= {arXiv preprint arXiv:hep-th/0001162},
  year   = {2009}
}

Comments

Latex2e, 8 pages, no figure

R2 v1 2026-07-22T14:56:22.973Z