Thermodynamics of a Quark Plasma Beyond the Mean Field: A Generalized Beth-Uhlenbeck Approach

Hüfner, J.; Klevansky, S. P.; Zhuang, Pengfei; Voss, H.

doi:10.1006/aphy.1994.1080

Cited by 115 publications

(176 citation statements)

References 0 publications

Supporting

Mentioning

171

Contrasting

Order By: Relevance

“…When interpreted in terms of hadron-hadron scattering phase shifts (see, e.g., Refs. [34,[54][55][56] for early examples of quark exchange contributions) the quark substructure effects could be accounted for by a Beth-Uhlenbeck type generalization of the thermodynamical potential [42,57,58]. It is expected, that besides changes in the hadron wave functions, the masses of baryons shall get reduced at high densities whereas the masses of mesons could increase toward the chiral restoration.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Chiral Condensate and Mott–Anderson Freeze-Out

et al. 2011

View full text Add to dashboard Cite

We present the idea of a Mott-Anderson freeze-out that suggests a key role of the localization of the hadron wave functions when traversing the hadronization transition. The extension of hadron wave functions in dense matter is governed by the behavior of the chiral quark condensate such that its melting at finite temperatures and chemical potentials entails an increase of the size of hadrons and thus their geometrical strong interaction cross sections. It is demonstrated within a schematic resonance gas model, that a kinetic freeze-out condition reveals a correlation with the reduction of the chiral condensate in the phase diagram up to 50% of its vacuum value. Generalizing the description of the chiral condensate by taking into account a full hadron resonance gas such correlation gets distorted. We discuss, that this may be due to our approximations in calculating the chiral condensate which disregard both, in-medium effects on hadron masses and hadron-hadron interactions. The latter, in particular due to quark exchange reactions, could lead to a delocalization of the hadron wave functions in accordance with the picture of a Mott-Anderson transition.

show abstract

Section: Discussionmentioning

confidence: 99%

“…including contributions from hadronic resonances. Such contributions have been discussed for mesonic fluctuations in [42,43] for the NJL model and in [41,44] for the PNJL model. Also recently mesonic fluctuations were included in these models within the functional renormalization group approach [18,[45][46][47][48][49].…”

Section: %mentioning

confidence: 99%

Chiral Condensate and Mott–Anderson Freeze-Out

et al. 2011

View full text Add to dashboard Cite

show abstract

“…The calculation of the thermodynamical potential beyond mean field includes meson-like fluctuations [18,19] and brings the hadronic pressure much closer to the lattice data. Second, at moderate temperatures the interaction of quarks in the gluonic environment modifies the Polyakov loop effective potential.…”

Section: Introductionmentioning

confidence: 86%

“…(18,19) accounting for the Polyakov loop effects. The B 0 function is defined as [36,55] B 0 (z, |p|, m q , µ q , m q , µ q ) = 16π…”

Section: T (Mev)mentioning

confidence: 99%

Equation of state of a quark-meson mixture in the improved Polyakov–Nambu–Jona-Lasinio model at finite chemical potential

Torres-Rincón

Aichelin

2017

Phys. Rev. C

View full text Add to dashboard Cite

We study the equation of state of QCD using an improved version of the threeflavor Polyakov-Nambu-Jona-Lasinio model beyond the mean-field approximation.It incorporates the effects of unquenched quarks into the Polyakov-loop effective potential, as well as mesonic contributions to the grand-canonical potential. We study in full detail the calculation of the thermodynamical potential in this approach and compare the resulting pressure and entropy density with the most-recent lattice-QCD calculations at zero baryochemical potential. Finally, we present some exploratory results at finite chemical potential which include the phase diagram of the model, the quark and meson masses, and finally, the thermodynamical pressure. Contents

show abstract

“…They studied the meson loop effect in the case of T = µ = 0 and concluded its importance due to the light pion mass. Hüfner et al [18] formulated thermodynamics of the NJL model to order 1/N and Zhuang et al [19] presented numerical results by using that formulation. Their analyses are mainly made for thermal system in the limit of zero µ.…”

mentioning

confidence: 99%

Meson loop effect on high density chiral phase transition

Sakaguchi

Kashiwa

Matsuzaki³

et al. 2008

Open Physics

View full text Add to dashboard Cite

Abstract:We test the stability of the mean field solution in the Nambu-Jona-Lasinio model in a semi-quantitative manner. For stable solutions with respect to both the σ and π directions, we investigate effects of the mesonic loop corrections of 1/N , which correspond to the next-to-leading order in the 1/N expansion, on the high density chiral phase transition. The corrections weaken the first order phase transition and shift the critical chemical potential to a lower value. At N = 3, however, instability of the mean field effective potential prevents us from determining the minimum of the corrected one.PACS ( At high temperature and density quantum chromodynamics (QCD) undergoes qualitative changes of great physical interest. Although many works are done, aspects of the transition region are not under full theoretical control. It is mandatory to deepen its understanding in order to understand the structure of compact stars and the history of the early universe, as well as results of ultra relativistic heavy ion experiments. With the aid of the progress in computer power, lattice simulations have become feasible for thermal system with zero or small density. In general, chiral restoration and deconfinement have been expected to occur simultaneously [1]. But a recent lattice simula- * E-mail: matsuza@fukuoka-edu.ac.jp tion results in different critical temperatures [2]. See also Ref.[3] for the order of the high temperature transition. One of the most important recent findings is strong correlations in the deconfined quark gluon plasma just above the critical temperature; on the one hand it appears as the near perfect fluidity [4][5][6] and on the other hand as the mesonic correlations [7,8].As an approach complementary to the first-principle lattice QCD simulation, we can consider effective models. In particular, they are even indispensable at high density where lattice QCD is not applicable due to the sign problem. One of them is the Nambu-Jona-Lasinio (NJL) model. Since it was proposed [9,10], this model has been widely used [11,12] in the mean field approximation, for example, for analyses of the critical end point of chiral transition on the temperature (T )  chemical potential (µ) plane [13][14][15][16].

show abstract

Thermodynamics of a Quark Plasma Beyond the Mean Field: A Generalized Beth-Uhlenbeck Approach

Cited by 115 publications

References 0 publications

Chiral Condensate and Mott–Anderson Freeze-Out

Chiral Condensate and Mott–Anderson Freeze-Out

Equation of state of a quark-meson mixture in the improved Polyakov–Nambu–Jona-Lasinio model at finite chemical potential

Meson loop effect on high density chiral phase transition

Contact Info

Product

Resources

About