Pressure and nonlinear susceptibilities in QCD at finite chemical potentials

2003/03/31 by Rajiv V. Gavai, Sourendu Gupta · 7 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #nucl-ex #nucl-th

paper · pdf · doi:10.1103/physrevd.68.034506

published as Phys.Rev. D68 (2003) 034506 · 15 pages, 2 figures. Data on chi_uuuu added, discussion enhanced

arxiv created 2003/05/21 · openalex publication_date 2003/08/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

When the free energy density of QCD is expanded in a Taylor series in the chemical potential \ensuremathμ, the coefficients are the nonlinear quark number susceptibilities. We show that these depend on the prescription for putting the chemical potential on the lattice, making all extrapolations in the chemical potential prescription dependent at finite lattice spacing. To put bounds on the prescription dependence, we investigate the magnitude of the nonlinear susceptibilities over a range of temperature, T, in QCD with two degenerate flavors of light dynamical quarks at lattice spacing 1/4T. The prescription dependence is removed in quenched QCD through a continuum extrapolation, and the dependence of the pressure P on \ensuremathμ is obtained.

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