Thermodynamics and quark susceptibilities: A Monte Carlo approach to the Polyakov-Nambu-Jona-Lasinio model

Journal Article · Tue Jun 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.114017· OSTI ID:21407963

Cristoforetti, M; Hell, T; Klein, B; Weise, W ^[1]

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1. Physik-Department, Technische Universitaet Muenchen, D-85747 Garching (Germany)

The Monte-Carlo method is applied to the Polyakov-loop extended Nambu-Jona-Lasinio model. This leads beyond the saddle-point approximation in a mean-field calculation and introduces fluctuations around the mean fields. We study the impact of fluctuations on the thermodynamics of the model, both in the case of pure gauge theory and including two quark flavors. In the two-flavor case, we calculate the second-order Taylor expansion coefficients of the thermodynamic grand canonical partition function with respect to the quark chemical potential and present a comparison with extrapolations from lattice QCD. We show that the introduction of fluctuations produces only small changes in the behavior of the order parameters for chiral symmetry restoration and the deconfinement transition. On the other hand, we find that fluctuations are necessary in order to reproduce lattice data for the flavor nondiagonal quark susceptibilities. Of particular importance are pion fields, the contribution of which is strictly zero in the saddle point approximation.

• OSTI ID: 21407963
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 11; Other Information: DOI: 10.1103/PhysRevD.81.114017; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
CHIRAL SYMMETRY
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
EXTRAPOLATION
FLAVOR MODEL
FLUCTUATIONS
GAUGE INVARIANCE
LATTICE FIELD THEORY
MEAN-FIELD THEORY
MONTE CARLO METHOD
ORDER PARAMETERS
PARTITION FUNCTIONS
PIONS
QUANTUM CHROMODYNAMICS
QUARKS
THERMODYNAMICS
BOSONS
CALCULATION METHODS
COMPOSITE MODELS
CONSTRUCTIVE FIELD THEORY
DIMENSIONLESS NUMBERS
ELEMENTARY PARTICLES
EVALUATION
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MESONS
NUMERICAL SOLUTION
PARTICLE MODELS
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
QUARK MODEL
SIMULATION
SYMMETRY
VARIATIONS