Calculation of the QCD phase diagram at finite temperature, and baryon and isospin chemical potentials

Barducci, A.; Casalbuoni, R.; Pettini, Giulio; Ravagli, L.

doi:10.1103/physrevd.69.096004

Cited by 140 publications

(133 citation statements)

References 36 publications

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“…For β = 0.2 we have α = 0.1484 ± 0.009 for T 1 = 160 MeV (17) and α = 0.1196 ± 0.0161 for T 1 = 100 MeV.…”

Section: B Order Of the Transition By Varying M Smentioning

confidence: 99%

“…Following the analyses previously performed within the chiral Lagrangian approach [13,14], and NJL [17,23] and ladder-QCD [18] studies, we expect a superfluid phase with condensed pions when the isospin chemical potential µ I exceeds a critical value µ C I (µ C I = m π /2 at µ q = T = 0).…”

Section: Introductionmentioning

confidence: 99%

“…The former has been the subject of several studies within different models, starting from effective Lagrangians [13,14], random matrices [15], NJL [16,17] and ladder-QCD [18] and so apparently a model-independent phenomenon. However, pion (and kaon [19]) condensation would not be accessible from Heavy Ion experiments, but could regard the physics of compact stars.…”

Section: Introductionmentioning

confidence: 99%

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Nambu–Jona-Lasinio-based study of the QCD critical line

et al. 2005

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“…For β = 0.2 we have α = 0.1484 ± 0.009 for T 1 = 160 MeV (17) and α = 0.1196 ± 0.0161 for T 1 = 100 MeV.…”

Section: B Order Of the Transition By Varying M Smentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nambu–Jona-Lasinio-based study of the QCD critical line

et al. 2005

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“…When µ I exceeds the pion mass, homogeneous charged pion condensation sets in, which has been studied intensively within chiral perturbation theory [152] and effective models [153,154,155,156,157]. One main focus of these model calculations is the effect of a nonvanishing baryon chemical potential on the pion condensate, which is analogous to the effect of a nonvanishing isospin chemical potential on a color superconductor with reversed roles of µ and µ I : In the same way as µ I exerts stress on the u-d pairs in the latter, µ exerts stress on the u-d pairs in the former, eventually rendering the homogeneous pion-condensed phase unstable.…”

Section: Nonzero Isospin Chemical Potentialmentioning

confidence: 99%

Inhomogeneous chiral condensates

Buballa

Carignano

2015

Progress in Particle and Nuclear Physics

247

258

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The chiral condensate, which is constant in vacuum, may become spatially modulated at moderately high densities where in the traditional picture of the QCD phase diagram a first-order chiral phase transition occurs. We review the current status of this idea, which originally dates back to Migdal's pion condensation, but recently received new momentum through studies on the nature of the chiral critical point and by the conjecture of a quarkyonic-matter phase. We discuss how these nonuniform phases emerge in generalized Ginzburg-Landau analyses as well as in specific calculations, both within effective models and in Dyson-Schwinger or large-N c approaches to QCD. Questions about the most favored shape of the modulations and its dimension, and about the effects of nonzero isospin chemical potential, strange quarks, color superconductivity, and external magnetic fields on these inhomogeneous phases will be addressed as well.

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“…For the NJL model this has been studied extensively in Refs. [35,39,40,41]. This condition is independent of c. To see what happens in the θ = π case, we calculate the c-dependence of the meson masses, with µ I = 0.…”

Section: A the C-dependence Of The Meson Masses And Mixingmentioning

confidence: 99%

SpontaneousCPviolation in the strong interaction atθ=π

Boer

Boomsma

2008

Phys. Rev. D

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Spontaneous CP-violation in the strong interaction is analyzed at θ = π within the framework of the two-flavor NJL model. It is found that the occurrence of spontaneous CP-violation at θ = π depends on the strength of the 't Hooft determinant interaction, which describes the effect of instanton interactions. The dependence of the phase structure, and in particular of the CP-violating phase, on the quark masses, temperature, baryon and isospin chemical potential is examined in detail. When available a comparison to earlier results from chiral perturbation theory is made. From our results we conclude that spontaneous CP-violation in the strong interaction is an inherently lowenergy phenomenon. In all cases we find agreement with the Vafa-Witten theorem, also at nonzero density and temperature. Meson masses and mixing in the CP-violating phase display some unusual features as a function of instanton interaction strength. A modification of the condition for charged pion condensation at nonzero isospin chemical potential and a novel phase of charged a0 mesons are discussed.

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Calculation of the QCD phase diagram at finite temperature, and baryon and isospin chemical potentials

Abstract: We study the phases of a two-flavor Nambu-Jona-Lasinio model at finite temperature T, and baryon and isospin chemical potentials B ϭ( u ϩ d )/2, I ϭ( u Ϫ d )/2. This study completes a previous analysis where only small isospin chemical potentials I were considered.

Cited by 140 publications

References 36 publications

Nambu–Jona-Lasinio-based study of the QCD critical line

Nambu–Jona-Lasinio-based study of the QCD critical line

Inhomogeneous chiral condensates

SpontaneousCPviolation in the strong interaction atθ=π

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