Chiral symmetry restoration at finite temperature and chemical potential in the improved ladder approximation

Taniguchi, Yusuke; Yoshida, Yuhsuke

doi:10.1103/physrevd.55.2283

Cited by 29 publications

(33 citation statements)

References 23 publications

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“…Here we apply the following general result proved in Refs. [17,18]: Under the rainbow approximation of the Dyson-Schwinger equation (DSE), if one ignores the µ dependence of the dressed gluon propagator (this is a commonly used approximation in calculating the dressed quark propagator at finite chemical potential [14,[17][18][19][20][21][22][23]) and assumes that the dressed quark propagator at finite µ is analytic in the neighborhood of µ = 0, then the inverse dressed quark propagator at finite chemical potential can be obtained from the one at zero chemical potential by the following simple substitution [17,18]: …”

Section: ∂P(µ) ∂µmentioning

confidence: 99%

Calculation of the equation of state of QCD at finite chemical and zero temperature

Zong

Sun

2008

Phys. Rev. D

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In this paper, we give a direct method for calculating the partition function, and hence the equation of state (EOS) of Quantum Chromodynamics (QCD) at finite chemical potential and zero temperature. In the EOS derived in this paper the pressure density is the sum of two terms: the first term P(µ)| µ=0 (the pressure density at µ = 0) is a µ-independent constant; the second term, which is totally determined by G R [µ](p) (the renormalized dressed quark propagator at finite µ), contains all the nontrivial µ-dependence. By applying a general result in the rainbow-ladder approximation of the Dyson-Schwinger approach obtained in our previous study [Phys. Rev. C 71, (2005)], G R [µ](p) is calculated from the meromorphic quark propagator proposed in [Phys.Rev. D 70, 014014 (2004)]. From this the full analytic expression of the EOS of QCD at finite µ and zero T is obtained (apart from the constant term P(µ)| µ=0 which can in principle be calculated from the CJT effective action). A comparison between our EOS and the cold, perturbative EOS of QCD of Fraga, Pisarski and Schaffner-Bielich is made. It is expected that our EOS can provide a possible new approach for the study of neutron stars.

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Section: ∂P(µ) ∂µmentioning

confidence: 99%

Calculation of the equation of state of QCD at finite chemical and zero temperature

Zong

Sun

2008

Phys. Rev. D

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“…Furthermore, since it was known that the quantities such as qq and f π are quite stable under the change of the infrared regularization parameter [10], we fix t R ≡ ln(p 2 R /Λ 2 QCD ) to 0.1 and determine the value of Λ QCD by the condition f π = 93 MeV at T = µ = 0. We approximately reproduce f π using the Pagels-Stoker formula [24]:…”

Section: Chiral Phase Transition At High Temperature and Densitymentioning

confidence: 99%

“…In this paper, we concentrate on the chiral phase transition between SU (N f ) L × SU (N f ) R and SU (N f ) L+R using the effective potential and the QCD-like theory. One usually studies the phase structure of QCD in terms of the Schwinger-Dyson equation (SDE) or the effective potential [9][10][11][12][13]. However, the use of the SDE only is not sufficient for its study in particular when there is a first order phase transition; then, we use the effective potential.…”

Section: Introductionmentioning

confidence: 99%

Chiral phase transition at high temperature and density in the QCD-like theory

2000

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The chiral phase transition at finite temperature T and/or chemical potential µ is studied using the QCD-like theory with a variational approach. The "QCD-like theory" means the improved ladder approximation with an infrared cutoff in terms of a modified running coupling. The form of Cornwall-Jackiw-Tomboulis effective potential is modified by the use of the Schwinger-Dyson equation for generally nonzero current quark mass. We then calculate the effective potential at finite T and/or µ and investigate the phase structure in the chiral limit. We have a second-order phase transition at Tc = 129 MeV for µ = 0 and a first-order one at µc = 422 MeV for T = 0. A tricritical point in the T -µ plane is found at T = 107 MeV, µ = 210 MeV. The position is close to that of the random matrix model and some version of the Nambu-Jona-Lasinio model.

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“…[195,198], is a poor approximation in the presence of DCSB; i.e., on the domain where B(p ω k ) ≫ m, which must at least introduce quantitative errors.…”

Section: In This Model the Gap Equation Ismentioning

confidence: 99%

Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD

Roberts

Schmidt

2000

Progress in Particle and Nuclear Physics

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Continuum strong QCD is the application of models and continuum quantum field theory to the study of phenomena in hadronic physics, which includes; e.g., the spectrum of QCD bound states and their interactions; and the transition to, and properties of, a quark gluon plasma. We provide a contemporary perspective, couched primarily in terms of the Dyson-Schwinger equations but also making comparisons with other approaches and models. Our discourse provides a practitioners' guide to features of the Dyson-Schwinger equations [such as confinement and dynamical chiral symmetry breaking] and canvasses phenomenological applications to light meson and baryon properties in cold, sparse QCD. These provide the foundation for an extension to hot, dense QCD, which is probed via the introduction of the intensive thermodynamic variables: chemical potential and temperature. We describe order parameters whose evolution signals deconfinement and chiral symmetry restoration, and chronicle their use in demarcating the quark gluon plasma phase boundary and characterising the plasma's properties. Hadron traits change in an equilibrated plasma. We exemplify this and discuss putative signals of the effects. Finally, since plasma formation is not an equilibrium process, we discuss recent developments in kinetic theory and its application to describing the evolution from a relativistic heavy ion collision to an equilibrated quark gluon plasma.

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Chiral symmetry restoration at finite temperature and chemical potential in the improved ladder approximation

Cited by 29 publications

References 23 publications

Calculation of the equation of state of QCD at finite chemical and zero temperature

Calculation of the equation of state of QCD at finite chemical and zero temperature

Chiral phase transition at high temperature and density in the QCD-like theory

Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD

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