Net-baryon multiplicity distribution consistent with lattice QCD

Bzdak, Adam; Koch, Volker

doi:10.1103/physrevc.99.024913

Cited by 6 publications

(6 citation statements)

References 47 publications

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“…It has been shown [3,6,7] that, over the range T c < T < T RW , the cluster expansion model (CEM) agrees with the lattice data well, and one of the parameters of this model, corresponding to the ratio f n+1 / f n at n → ∞, tends to zero as the temperature becomes lower than T c . We consider temperatures T = 0.99T c and T = 0.93T c in the confinement domain in order to study the temperature dependence of the probabilities P n where the CEM reaches its applicability limit.…”

Section: T < T Cmentioning

confidence: 89%

Net-Baryon Probability Distributions from Lattice Simulations

Rogalyov,

Goy

2023

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We use the results of lattice simulations of the net-baryon number density at imaginary baryon chemical potential in Nf=2 QCD to construct the equation of state of dense and hot strong-interacting matter both above the Roberge–Weiss temperature T>TRW and below the critical temperature T<Tc. For these cases, we also evaluate probability distributions of the net-baryon number, as well as the respective cumulants and moments. The consequences of the asymptotic behavior of these probability distributions for the problem of reconstruction of the net-baryon probability distributions from cumulants are discussed.

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Section: T < T Cmentioning

confidence: 89%

Net-Baryon Probability Distributions from Lattice Simulations

Rogalyov,

Goy

2023

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“…These Fourier coefficients have attracted considerable attention recently [24,[35][36][37], in particular in the context of lattice QCD simulations at imaginary µ B [20,38,39].…”

Section: Fourier Coefficientsmentioning

confidence: 99%

Analytic structure of thermodynamic systems with repulsive interactions

et al. 2019

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Thermodynamic properties of systems with repulsive interactions, are considered in the grand canonical ensemble. The analytic structure of the excluded-volume model in the complex plane of the system chemical potential (fugacity) is elaborated, based on the fact that the pressure function can be given in terms of the Lambert W-function. Even though the excluded volume model has no phase transitions at real values of the chemical potential, it does exhibit a branch cut singularity in the complex plane, thus limiting the convergence range of the Taylor expansion in the chemical potential. Close similarities to analytic properties of the other models with repulsive interactions, such as a cluster expansion model, the mean-field model, and the ideal Fermi gas model, are pointed out. As an example, repulsive baryonic interactions in a hadron gas, with a focus on the fugacity/virial and Taylor expansion methods used in lattice QCD, are presented. The asymptotic behavior of the Fourier expansion coefficients in these various models suggests that the singular part of net baryonic density can to leading order be universally expressed in terms of polylogarithms.

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“…[19]. Recent applications of the Fourier expansion method include a construction of a crossover equation-of-state for finite baryon densities [20][21][22], a determination of the net baryon number distribution in heavy-ion collisions at the LHC [23], and analysis of the scaling properties of b k related to the chiral phase transition [24,25] or repulsive interactions [26].…”

Section: Introductionmentioning

confidence: 99%

Critical point signatures in the cluster expansion in fugacities

et al. 2020

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The QCD baryon number density can formally be expanded into a Laurent series in fugacity, which is a relativistic generalization of Mayer's cluster expansion. We determine properties of the cluster expansion in a model with a phase transition and a critical point at finite baryon density, in which the Fourier coefficients of the expansion can be determined explicitly and to arbitrary order. The asymptotic behavior of Fourier coefficients changes qualitatively as one traverses the critical temperature and it is connected to the branching points of a thermodynamic potential associated with the phase transition. The results are discussed in the context of lattice QCD simulations at imaginary chemical potential. We argue that the location of a branching point closest to the imaginary chemical potential axis can be extracted through an analysis of an exponential suppression of Fourier coefficients. This is illustrated using the four leading coefficients both in a toy model as well as by using recent lattice QCD data.

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Net-baryon multiplicity distribution consistent with lattice QCD

Cited by 6 publications

References 47 publications

Net-Baryon Probability Distributions from Lattice Simulations

Net-Baryon Probability Distributions from Lattice Simulations

Analytic structure of thermodynamic systems with repulsive interactions

Critical point signatures in the cluster expansion in fugacities

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