Quark number susceptibility: Revisited with fluctuationdissipation theorem in mean field theories
Abstract
Fluctuations of conserved quantum numbers are associated with the corresponding susceptibilities because of the symmetry of the system. The underlying fact is that these fluctuations as defined through the static correlators become identical to the direct calculation of these susceptibilities defined through the thermodynamic derivatives, due to the fluctuationdissipation theorem. Through a rigorous exercise we explicitly show that a diagrammatic calculation of the static correlators associated with the conserved quark number fluctuations and the corresponding susceptibilities are possible in the case of mean field theories, if the implicit dependence of the mean fields on the quark chemical potential are taken into account appropriately. As an aside we also give an analytical prescription for obtaining the implicit dependence of the mean fields on the quark chemical potential.
 Publication:

Physical Review D
 Pub Date:
 September 2014
 DOI:
 10.1103/PhysRevD.90.054030
 arXiv:
 arXiv:1407.7203
 Bibcode:
 2014PhRvD..90e4030G
 Keywords:

 12.38.Aw;
 12.38.Mh;
 12.39.x;
 General properties of QCD;
 Quarkgluon plasma;
 Phenomenological quark models;
 High Energy Physics  Phenomenology;
 High Energy Physics  Lattice
 EPrint:
 Phys. Rev. D 90, 054030 (2014)