Chiral meson masses at finite temperature and density
Abstract
The ratio of the sigma mass to the pion mass at finite temperatures and densities provides for a quantitative signal of chiral symmetry breaking. We calculate this ratio by using an extension to finite chemical potential of the field theoretic composite operator formalism as applied to QCD. The calculation is limited to regions of the phase diagram where only quarkantiquark condensates dominate (no quarkquark condensates) and it confirms the expected behaviors. In particular the sigma becomes an essentially stable particle in a narrow region bordering the transition line from broken to restored chirality. This pattern is qualitatively the same both for the region where the transition is of second order as for the region where it is of first order (apart from the discontinuities expected in the latter case).
 Publication:

Physical Review D
 Pub Date:
 April 2001
 DOI:
 10.1103/PhysRevD.63.074002
 arXiv:
 arXiv:hepph/0009285
 Bibcode:
 2001PhRvD..63g4002B
 Keywords:

 12.38.Aw;
 05.70.Jk;
 11.30.Rd;
 12.38.Mh;
 General properties of QCD;
 Critical point phenomena;
 Chiral symmetries;
 Quarkgluon plasma;
 High Energy Physics  Phenomenology
 EPrint:
 17 pages, 2 figures