Relevance of matter and glue dynamics for baryon number fluctuations

Fu, Weijie; Pawlowski, Jan M.

doi:10.1103/physrevd.92.116006

Cited by 64 publications

(151 citation statements)

References 82 publications

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“…We compare our analysis with those of the Functional Renormalization Group (FRG) [42][43][44][45][46]. In the FRG, the loop approaches unity quickly, as in the chiral matrix model; for the pure gauge theory, see Fig.…”

Section: Modelmentioning

confidence: 99%

“…[44]. In QCD, though, Fu and Pawloski computed the baryon susceptibilities [45,46], and find good agreement with the lattice. This requires, however, that the loop is relatively large at T χ : from Fig.…”

Section: Modelmentioning

confidence: 99%

“…Polyakov quark meson models improved by using the functional renormalization group [42][43][44][45][46].…”

Section: Introductionmentioning

confidence: 99%

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Chiral matrix model of the semi-QGP in QCD

Pisarski¹,

Skokov²

2016

Phys. Rev. D

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Previously, a matrix model of the region near the transition temperature, in the "semi"-Quark Gluon Plasma, was developed for the theory of SU (3) gluons without quarks. In this paper we develop a a chiral matrix model applicable to QCD by including dynamical quarks with 2 + 1 flavors. This requires adding a nonet of scalar fields, with both parities, and coupling these to quarks through a Yukawa coupling, y. Treating the scalar fields in mean field approximation, the effective Lagrangian is computed by integrating out quarks to one loop order. As is standard, the potential for the scalar fields is chosen to be symmetric under the flavor symmetry of SU (3) L × SU (3) R × Z(3) A , except for a term linear in the current quark mass, m qk . In addition, at a nonzero temperature T it is necessary to add a new term, ∼ m qk T 2 . The parameters of the gluon part of the matrix model are identical to that for the pure glue theory without quarks. The parameters in the chiral matrix model are fixed by the values, at zero temperature, of the pion decay constant and the masses of the pions, kaons, η, and η . The temperature for the chiral crossover at T χ = 155 MeV is determined by adjusting the Yukawa coupling y. We find reasonable agreement with the results of numerical simulations on the lattice for the pressure and related quantities. In the chiral limit, besides the divergence in the chiral susceptibility there is also a milder divergence in the susceptibility between the Polyakov loop and the chiral order parameter, with critical exponent β − 1. We compute derivatives with respect to a quark chemical potential to determine the susceptibilities for baryon number, the χ 2n . Especially sensitive tests are provided by χ 4 − χ 2 and by χ 6 , which changes in sign about T χ . The behavior of the susceptibilities in the chiral matrix model strongly suggests that as the temperature increases from T χ , that the transition to deconfinement is significantly quicker than indicated by the measurements of the (renormalized) Polyakov loop on the lattice. * pisarski@bnl.gov † vskokov@bnl.gov 2

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Section: Modelmentioning

confidence: 99%

Section: Modelmentioning

confidence: 99%

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Chiral matrix model of the semi-QGP in QCD

Pisarski¹,

Skokov²

2016

Phys. Rev. D

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“…In particular, the functional renormalisation group (FRG) is a first-principles method that allows for quantitative computations of the generating functional of QCD. Recently, the functional QCD (fQCD) collaboration [23] has established a comprehensive framework encompassing both, top-down [1][2][3] and bottom-up [24][25][26][27][28][29][30] approaches within the FRG framework.…”

Section: Introductionmentioning

confidence: 99%

Nonperturbative finite-temperature Yang-Mills theory

et al. 2018

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We present nonperturbative correlation functions in Landau-gauge Yang-Mills theory at finite temperature. The results are obtained from the functional renormalisation group within a self-consistent approximation scheme. In particular, we compute the magnetic and electric components of the gluon propagator, and the three-and four-gluon vertices. We also show the ghost propagator and the ghost-gluon vertex at finite temperature. Our results for the propagators are confronted with lattice simulations and our Debye mass is compared to hard thermal loop perturbation theory.

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“…[23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42]), functional renormalization group approach (see, e.g., Refs. [43][44][45][46][47][48]) and lattice QCD simulations (see, e.g., Refs. ).…”

Section: Introductionmentioning

confidence: 99%

Interface effect in QCD phase transitions via Dyson-Schwinger equation approach

Gao

Liu

2016

Phys. Rev. D

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With the chiral susceptibility criterion we obtain the phase diagram of strong-interaction matter in terms of temperature and chemical potential in the framework of Dyson-Schwinger equations (DSEs) of QCD. After calculating the pressure and some other thermodynamic properties of the matter in the DSE method, we get the phase diagram in terms of temperature and baryon number density. We also obtain the interface tension and the interface entropy density to describe the inhomogeneity of the two phases in the coexistence region of the first order phase transition. After including the interface effect, we find that the total entropy density of the system increases in both the deconfinement (dynamical chiral symmetry restoration) and the hadronization (dynamical chiral symmetry breaking) processes of the first order phase transitions and thus solve the entropy puzzle in the hadronization process.

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Relevance of matter and glue dynamics for baryon number fluctuations

Cited by 64 publications

References 82 publications

Chiral matrix model of the semi-QGP in QCD

Chiral matrix model of the semi-QGP in QCD

Nonperturbative finite-temperature Yang-Mills theory

Interface effect in QCD phase transitions via Dyson-Schwinger equation approach

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