Quark number susceptibility: Revisited with fluctuation-dissipation theorem in mean field theories

Sanjay K. Ghosh, Anirban Lahiri, Sarbani Majumder, Munshi G. Mustafa, Sibaji Raha, and Rajarshi Ray
Phys. Rev. D 90, 054030 – Published 30 September 2014

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 fluctuation-dissipation 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.

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  • Received 1 August 2014

DOI:https://doi.org/10.1103/PhysRevD.90.054030

© 2014 American Physical Society

Authors & Affiliations

Sanjay K. Ghosh1,*, Anirban Lahiri2,†, Sarbani Majumder3,‡, Munshi G. Mustafa3,§, Sibaji Raha1,¶, and Rajarshi Ray1,**

  • 1Department of Physics & Center for Astroparticle Physics and Space Science, Bose Institute, Kolkata 700091, India
  • 2Department of Theoretical Physics, Tata Institute of Fundamental Research, Mumbai 400005, India
  • 3Theory Division, Saha Institute of Nuclear Physics, Kolkata 700064, India

  • *sanjay@jcbose.ac.in
  • anirban@theory.tifr.res.in
  • sarbani.majumder@saha.ac.in
  • §munshigolam.mustafa@saha.ac.in
  • sibaji@jcbose.ac.in
  • **rajarshi@jcbose.ac.in

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Issue

Vol. 90, Iss. 5 — 1 September 2014

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