Confinement, Chiral Symmetry and Hadrons
Abstract
The Polyakov loop is the appropriate deconfinement order parameter for Yang-Mills theories without quarks or with quarks in the adjoint representation of the gauge group. However it is not a physical state of the theory so the information regarding the center group symmetry must be transferred to the physical states. We briefly review how this transfer of information takes place. When adding quarks the center group is no longer a symmetry for matter in the fundamental representation. This feature allows us to explain why color deconfines when chiral symmetry is restored in hot gauge theories with massless quarks. For quarks in the adjoint representation we show that while deconfinement and the chiral transition do not coincide, entanglement between them is still present. Finally, we discuss also the chemical potential driven phase transition.
Cite
@article{arxiv.hep-ph/0311078,
title = {Confinement, Chiral Symmetry and Hadrons},
author = {Agnes Mocsy and Francesco Sannino and Kimmo Tuominen},
journal= {arXiv preprint arXiv:hep-ph/0311078},
year = {2007}
}
Comments
Presented at the Institute for Particle Physics Phenomenology Light Cone Workshop, Hadrons and Beyond (LC03), Grey College, University of Durham, 5-9 August 2003