Net baryon number probability distribution near the chiral phase transition

Morita, Kenji; Skokov, Vladimir; Friman, Bengt; Redlich, K.

doi:10.48550/arxiv.1211.4703

Cited by 7 publications

(13 citation statements)

References 1 publication

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“…The growth of the statistical error of higher order cumulants is a well known feature, and discussed in various contexts; see for example Refs. [62,63,64].…”

Section: Error Of the Cumulantsmentioning

confidence: 99%

“…and so forth. Equation (63) shows that the mixed second-order cumulant is given by the mixed central moment, or correlation. For a probability distribution function for k stochastic variables m 1 , • • • , m k , the generating functions are defined by…”

Section: Cumulants For Multiple Variablesmentioning

confidence: 99%

“…Equation (126) shows that the effect of the divergence in χ B 2 is relatively suppressed in χ Q 2 . In order to compare the cumulants of conserved charges obtained in effective models or lattice QCD numerical simulations with experimental data, the ratios of cumulants are calculated on the chemical freezeout line [93] in the literature [119,120,121,122,63,64,123,124,125]. Recently, the use of fluctuation observables for the determination of the freezeout temperature (of fluctuations) is also proposed [126,34,91].…”

Section: Qcd Critical Pointmentioning

confidence: 99%

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Fluctuations of conserved charges in relativistic heavy ion collisions: An introduction

Asakawa

Kitazawa

2016

Progress in Particle and Nuclear Physics

122

102

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Bulk fluctuations of conserved charges measured by event-by-event analysis in relativistic heavy ion collisions are observables which are believed to carry significant amount of information on the hot medium created by the collisions. Active studies have been done recently experimentally, theoretically, and on the lattice. In particular, non-Gaussianity of the fluctuations has acquired much attention recently. In this review, we give a pedagogical introduction to these issues, and survey recent developments in this field of research. Starting from the definition of cumulants, basic concepts in fluctuation physics, such as thermal fluctuations in statistical mechanics and time evolution of fluctuations in diffusive systems, are described. Phenomena which are expected to occur in finite temperature and/or density QCD matter and their measurement by event-byevent analyses are also elucidated.

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“…The growth of the statistical error of higher order cumulants is a well known feature, and discussed in various contexts; see for example Refs. [62,63,64].…”

Section: Error Of the Cumulantsmentioning

confidence: 99%

Section: Cumulants For Multiple Variablesmentioning

confidence: 99%

Section: Qcd Critical Pointmentioning

confidence: 99%

See 1 more Smart Citation

Fluctuations of conserved charges in relativistic heavy ion collisions: An introduction

Asakawa

Kitazawa

2016

Progress in Particle and Nuclear Physics

122

102

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show abstract

“…As already well known, however, lattice QCD simulations suffer from the sign problem at finite density. The canonical approach [1], which is one of the methods proposed to avoid the sign problem, has been developed rapidly with multiple-precision arithmetic [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. The canonical approach can be applied to study the physical observables such as particle number distributions in heavy-ion collisions and reveal the phase structure at µ similar to the effective quark mass ∼ 300 [MeV] for the light-flavor SU (2) sector.…”

Section: Introductionmentioning

confidence: 99%

The use of the canonical approach in effective models of QCD

Wakayama,

Nam,

Hosaka

2020

Preprint

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We clarify regions where the canonical approach works well at the finite temperature and density in the Nambu-Jona-Lasinio (NJL) and Polyakov-NJL (PNJL) models. The canonical approach is a useful method for avoiding the sign problem in lattice QCD simulations at finite density, but it involves some parameters. We find that number densities computed from the canonical approach are consistent with exact values in most of the confinement phase within the parameters, which are applicable in lattice QCD.

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“…Many methods have been proposed toward avoiding the sign problem. Meanwhile, a method called the canonical approach [4] has been recently developed rapidly with multiple-precision arithmetic [5][6][7][8][9][10][11][12][13][14][15][16][17][18]. In the canonical approach physical quantities are calculated at pure imaginary chemical potentials, in which the sign problem does not exist.…”

Section: Introductionmentioning

confidence: 99%

Search of QCD phase transition points in the canonical approach of the NJL model

Wakayama

2019

Physics Letters B

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We study the Lee-Yang zeros in the canonical approach to search phase transition points at finite temperature and density in the Nambu-Jona-Lasinio (NJL) model as an effective model of QCD. The canonical approach is a promising method to avoid the sign problem in lattice QCD at finite density. We find that a set of Lee-Yang zeros computed with finite degrees of freedom can be extrapolated to those with infinite degrees of freedom, providing the correct phase transition point. We propose the present method as a useful method for actual lattice simulations for QCD.

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Net baryon number probability distribution near the chiral phase transition

Cited by 7 publications

References 1 publication

Fluctuations of conserved charges in relativistic heavy ion collisions: An introduction

Fluctuations of conserved charges in relativistic heavy ion collisions: An introduction

The use of the canonical approach in effective models of QCD

Search of QCD phase transition points in the canonical approach of the NJL model

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