Thermodynamics of two flavor QCD to sixth order in quark chemical potential

Journal Article · Tue Mar 01 00:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.054508· OSTI ID:20706130

Allton, C R; Hands, S J ^[1]; Doering, M; Ejiri, S; Kaczmarek, O; Karsch, F; Laermann, E ^[2]; Redlich, K ^[2]

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1. Department of Physics, University of Wales Swansea, Singleton Park, Swansea SA2 8PP (United Kingdom)
2. Fakultaet fuer Physik, Universitaet Bielefeld, D-33615 Bielefeld (Germany)

We present results of a simulation of two flavor QCD on a 16{sup 3}x4 lattice using p4-improved staggered fermions with bare quark mass m/T=0.4. Derivatives of the thermodynamic grand canonical partition function Z(V,T,{mu}{sub u},{mu}{sub d}) with respect to chemical potentials {mu}{sub u,d} for different quark flavors are calculated up to sixth order, enabling estimates of the pressure and the quark number density as well as the chiral condensate and various susceptibilities as functions of {mu}{sub q}=({mu}{sub u}+{mu}{sub d})/2 via Taylor series expansion. Furthermore, we analyze baryon as well as isospin fluctuations and discuss the relation between the radius of convergence of the Taylor series and the chiral critical point in the QCD phase diagram. We argue that bulk thermodynamic observables do not, at present, provide direct evidence for the existence of a chiral critical point in the QCD phase diagram. Results are compared to high temperature perturbation theory as well as a hadron resonance gas model.

• OSTI ID: 20706130
• Journal Information: Physical Review. D, Particles Fields, Vol. 71, Issue 5; Other Information: DOI: 10.1103/PhysRevD.71.054508; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
CHIRAL SYMMETRY
CHIRALITY
COMPUTERIZED SIMULATION
CONVERGENCE
DENSITY
FLAVOR MODEL
FLUCTUATIONS
ISOSPIN
LATTICE FIELD THEORY
PARTITION FUNCTIONS
PERTURBATION THEORY
PHASE DIAGRAMS
POTENTIALS
QUANTUM CHROMODYNAMICS
QUARKS
REST MASS
SERIES EXPANSION
STATISTICAL MODELS
THERMODYNAMICS