Quark number fluctuations in the Polyakov loop-extended quark-meson model at finite baryon density

The thermodynamics and phase structure of the Polyakov loop-extended two-flavor chiral quark-meson (PQM) model are explored beyond the mean-field approximation. The analysis of the PQM model is based on the functional renormalization group (FRG) method. We formulate and solve the renormalization gro...

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Bibliographic Details
Published in:Physical review. C, Nuclear physics Nuclear physics, 2011-05, Vol.83 (5), Article 054904
Main Authors: Skokov, V., Friman, B., Redlich, K.
Format: Article
Language:English
Subjects:
APPROXIMATIONS
BARYONS
BOSONS
CALCULATION METHODS
CHIRALITY
COMPOSITE MODELS
DENSITY
DIAGRAMS
ELEMENTARY PARTICLES
FERMIONS
FLAVOR MODEL
FLUCTUATIONS
HADRONS
INFORMATION
MATHEMATICAL MODELS
MEAN-FIELD THEORY
MESONS
PARTICLE MODELS
PARTICLE PROPERTIES
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUARK MODEL
QUARKS
RENORMALIZATION
THERMODYNAMICS
VARIATIONS
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Summary:The thermodynamics and phase structure of the Polyakov loop-extended two-flavor chiral quark-meson (PQM) model are explored beyond the mean-field approximation. The analysis of the PQM model is based on the functional renormalization group (FRG) method. We formulate and solve the renormalization group flow equation for the scale-dependent thermodynamic potential in the presence of the gluonic background field at finite temperature and density. We determine the phase diagram of the PQM model in the FRG approach and discuss its modification compared to the mean-field approximation. We focus on the fluctuations of the net-quark number density, including higher cumulants, and discuss the influence of nonperturbative effects near the chiral crossover transition. We find that, with increasing net-quark number density, the higher-order cumulants exhibit a characteristic structure near the transition. We also consider ratios of different cumulants of the net-quark number density and discuss their role as probes of the deconfinement and chiral phase transitions.
ISSN:0556-2813
1089-490X
DOI:10.1103/PhysRevC.83.054904