QCD thermal phase transition in the presence of a small chemical potential

2002/04/30 by Chris Allton, C. R. Allton, S. Ejiri +10 · 22 citations
Physics and Astronomy · #Fermion #High-Energy Particle Collisions Research #Isoscalar #Isovector #Lattice QCD #Mathematical physics #Nucleon #Observable #Particle physics #Particle physics theoretical and experimental studies #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Thermodynamics #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.66.074507

published as Phys.Rev.D66:074507,2002 · 26 pages, 25 figures, minor modification

arxiv created 2002/09/02 · openalex publication_date 2002/10/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose a new method to investigate the thermal properties of QCD with a small quark chemical potential \ensuremathμ. Derivatives of quark and gluonic observables with respect to \ensuremathμ are computed at \ensuremathμ=0 for two flavors of p4 improved staggered fermions with ma=0.1,0.2 on a 16³\ifmmode×\else\texttimes\fi4 lattice, and used to calculate the leading order Taylor expansion in \ensuremathμ of the location of the pseudocritical point about \ensuremathμ=0. This expansion should be well behaved for the small values of \ensuremathμ_q/T_c\ensuremath∼0.1 relevant for BNL RHIC phenomenology, and predicts a critical curve T_c(\ensuremathμ) in reasonable agreement with estimates obtained using exact reweighting. In addition, we contrast the case of isoscalar and isovector chemical potentials, quantify the effect of \ensuremathμ\ensuremath≠0 on the equation of state, and comment on the complex phase of the fermion determinant in QCD with \ensuremathμ\ensuremath≠0.

Citations

• Quark mass and flavour dependence of the QCD phase transition
• Lattice results on QCD thermodynamics
• The Little Bang: searching for quark–gluon matter in relativistic heavy-ion collisions
• QCD at Finite Isospin Density
• Hadron production in Au–Au collisions at RHIC
• Phase diagram of QCD

Cited by

• The QCD equation of state for two flavours at non-zero chemical potential
• Equation of state and heavy-quark free energy at finite temperature and density in two flavor lattice QCD with Wilson quark action
• LESSONS FROM RANDOM MATRIX THEORY FOR QCD AT FINITE DENSITY
• Advances in perturbative thermal field theory
• A large Nc perspective on the QCD phase diagram
• Grand Canonical Potential for a Static Quark–Anti-quark Pair at μ≠0
• New Ideas in Finite Density QCD
• Complex Langevin dynamics at finite chemical potential: mean field analysis in the relativistic Bose gas
• Lattice QCD at Finite Temperature and Density
• θdependence inSU(3)Yang-Mills theory from analytic continuation
• QCD phase diagram: A comparison of lattice and hadron resonance gas model calculations
• Curvature of the pseudocritical line in QCD: Taylor expansion matches analytic continuation
• Study of QCD critical point using canonical ensemble method
• Effect of stout smearing on the phase diagram from multiparameter reweighting in lattice QCD
• Scope and convergence of the hopping parameter expansion in finite temperature QCD with heavy quarks around the critical point
• Complex Langevin simulation of a random matrix model at nonzero chemical potential
• Pion and kaon condensation in a 3-flavor Nambu–Jona-Lasinio model
• Higher order fluctuations and correlations of conserved charges from lattice QCD
• Phase structure of lattice QCD with two flavors of Wilson quarks at finite temperature and chemical potential
• QCD phase diagram at nonzero temperature, baryon, and isospin chemical potentials in random matrix theory
• Enhancement of critical slowing down in chiral phase transition—Langevin dynamics approach
• Correlation between conserved charges in Polyakov–Nambu–Jona-Lasinio model with multiquark interactions