Susceptibilities near the QCD (tri)critical point

Schaefer, Bernd-Jochen; Wambach, J.

doi:10.1103/physrevd.75.085015

Cited by 218 publications

(278 citation statements)

References 49 publications

Supporting

Mentioning

253

Contrasting

Order By: Relevance

“…Consequently, the region where the quark number fluctuations are large extends further away from the CEP in the mean-field than in the FRG approach. This result is in agreement with previous studies in the QM model, showing that the critical region shrinks due to mesonic fluctuations [23].…”

Section: B Quark Number Density Fluctuationssupporting

confidence: 83%

“…However, to correctly account for the critical behavior and scaling properties near the chiral phase transition, it is necessary to go beyond the mean-field approximation and include fluctuations and nonperturbative dynamics. This can * v.skokov@gsi.de be achieved, e.g., by using methods based on the functional renormalization group (FRG) [19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

2011

View full text Add to dashboard Cite

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.

show abstract

Section: B Quark Number Density Fluctuationssupporting

confidence: 83%

Section: Introductionmentioning

confidence: 99%

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

2011

View full text Add to dashboard Cite

show abstract

“…The divergence of susceptibilities near a critical point has led to suggestions for how to locate the CP in the QCD phase diagram experimentally [20] and therefore attracted significant interest also in model studies [135,77,128]. Having seen that the presence of an inhomogeneous phase could cover the firstorder phase boundary and also the CP, it is a natural and important question how the susceptibilities are altered by the presence of an inhomogeneous phase.…”

Section: Quark Number Susceptibilitiesmentioning

confidence: 99%

“…The main difference between the two models is thus that the NJL model has no kinetic terms and no quartic terms for the meson fields. In mean-field approximation the meson fields are treated as classical and replaced by their expectation values, neglecting both thermal and quantum fluctuations [76,77]. As in the NJL model, we assume these mean fields to be time independent but, in order to allow for inhomogeneous phases, we retain their dependence on the spatial coordinate x.…”

Section: Mean-field Thermodynamic Potentialmentioning

confidence: 99%

Inhomogeneous chiral condensates

Buballa

Carignano

2015

Progress in Particle and Nuclear Physics

241

258

View full text Add to dashboard Cite

The chiral condensate, which is constant in vacuum, may become spatially modulated at moderately high densities where in the traditional picture of the QCD phase diagram a first-order chiral phase transition occurs. We review the current status of this idea, which originally dates back to Migdal's pion condensation, but recently received new momentum through studies on the nature of the chiral critical point and by the conjecture of a quarkyonic-matter phase. We discuss how these nonuniform phases emerge in generalized Ginzburg-Landau analyses as well as in specific calculations, both within effective models and in Dyson-Schwinger or large-N c approaches to QCD. Questions about the most favored shape of the modulations and its dimension, and about the effects of nonzero isospin chemical potential, strange quarks, color superconductivity, and external magnetic fields on these inhomogeneous phases will be addressed as well.

show abstract

“…This can be accounted for by using the functional renormalization * V.Skokov@gsi.de group (FRG) [14][15][16][17]. Until now this method was applied in the NJL and quark-meson model, where the FRG equation was formulated for quarks coupled to meson fields [18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Meson fluctuations and thermodynamics of the Polyakov-loop-extended quark-meson model

et al. 2010

View full text Add to dashboard Cite

Thermodynamics of the Polyakov-loop-extended two-flavor chiral quark-meson model (PQM) is explored. The analysis of the PQM model is based on the functional renormalization group method. An appropriate truncation of the effective action with quarks coupled to background gluonic fields is introduced. Within this scheme, we derive the renormalization group flow equation for the scale-dependent thermodynamic potential at finite temperature and density in the presence of a symmetry breaking external field. The influence of fluctuations and of the background gluon field on the properties of net-quark number density fluctuations and their higher moments is explored. We study the dependence of the kurtosis of quark-number fluctuations on the pion mass and show that, in the presence of a symmetry-breaking term, the fluctuations lead to a smoothing of observables near the crossover transition.

show abstract

Susceptibilities near the QCD (tri)critical point

Cited by 218 publications

References 49 publications

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

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

Inhomogeneous chiral condensates

Meson fluctuations and thermodynamics of the Polyakov-loop-extended quark-meson model

Contact Info

Product

Resources

About