No deconfinement in QCD ?
Abstract
At a critical temperature QCD in the chiral limit undergoes a chiral restoration phase transition. Above the phase transition the quark condensate vanishes. The BanksCasher relation connects the quark condensate to a density of the nearzero modes of the Dirac operator. In the NambuGoldstone mode the quasizero modes condense around zero, \lambda \rightarrow 0, and provide a nonvanishing quark condensate. The chiral restoration phase transition implies that above the critical temperature there is no any longer a condensation of the Dirac modes around zero. If a U(1)_A symmetry is also restored and a gap opens in the Dirac spectrum then the Euclidean correlation functions are SU(2N_f) \supset SU(N_f)_L \times SU(N_f)_R \times U(1)_A symmetric. This symmetry implies that a free (deconfined) propagation of quarks in Minkowski spacetime that perturbatively interact with unconfined gluons is impossible. This means that QCD above the critical temperature is not of a quarkgluon plasma origin and has a more complicated structure.
 Publication:

arXiv eprints
 Pub Date:
 December 2015
 arXiv:
 arXiv:1512.06703
 Bibcode:
 2015arXiv151206703G
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Lattice;
 High Energy Physics  Theory
 EPrint:
 5 pp Some clarifications and an appendix have been added