Inhomogeneous phases in the Nambu–Jona-Lasinio and quark-meson model

Nickel, Dominik

doi:10.1103/physrevd.80.074025

Cited by 217 publications

(386 citation statements)

References 43 publications

(102 reference statements)

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“…Moreover, since γ 4,a < 0 is a condition for a first-order phase transition between homogeneous phases, while for γ 4,b < 0 inhomogeneous solutions are favored, this suggests that the first-order phase boundary which would be present in the homogeneous case is covered by an inhomogeneous phase [44]. This prediction has been confirmed by numerical calculations [43], and, as we will see later, seems to hold even beyond the range of validity of the GL expansion.…”

Section: Nambu-jona-lasinio Modelsupporting

confidence: 71%

“…6 our own NJL-model results, which have been obtained employing the formalism described above, together with the Pauli-Villarstype regularization scheme developed in Ref. [43]. In the phase diagram, displayed in the left panel, we have also indicated the first-order chiral phase boundary one finds if the possibility of inhomogeneous phases is not taken into account (blue solid line).…”

Section: Model Resultsmentioning

confidence: 99%

“…Until quite recently, the divergent vacuum term was therefore simply omitted in QM-model studies, expecting that a proper refit of the model parameters would compensate for it. This "no-sea" or "standard mean-field" approximation (sMFA) was also the basis of the first investigations of inhomogeneous phases in the QM model [41,78,50,43]. It was shown, however, that the sMFA leads to artifacts, such as a first-order chiral phase transition in the chiral limit for two flavors at vanishing chemical potential [79].…”

Section: Renormalization Of the Dirac Seamentioning

confidence: 99%

“…Limiting once again this procedure to the vacuum contributions, after performing the Matsubara sum one obtains the regularized expression first suggested in [43], which basically amounts to replacing in Eq. (27) the Dirac sea term with…”

Section: Regularizationmentioning

confidence: 99%

“…Subsequent refinements on this study, focusing on the competition of this kind of inhomogeneous phase with color-superconductivity, have been discussed by Shuster and Son [38], Park et al [39] as well as by Rapp, Shuryak and Zahed [40]. Model analyses of inhomogeneous chiral symmetry breaking started in the early 1990s by Kutschera et al [41] and have become increasingly systematic, particularly thanks to seminal papers by Nakano and Tatsumi [42] and Nickel [43,44].…”

Section: Introductionmentioning

confidence: 99%

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Inhomogeneous chiral condensates

Buballa

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2015

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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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Section: Nambu-jona-lasinio Modelsupporting

confidence: 71%

Section: Model Resultsmentioning

confidence: 99%

Section: Renormalization Of the Dirac Seamentioning

confidence: 99%

Section: Regularizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Inhomogeneous chiral condensates

Buballa

Carignano

2015

Progress in Particle and Nuclear Physics

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Inverse Magnetic Catalysis in Field Theory and Gauge-Gravity Duality

Preis

Rebhan

Schmitt

2013

Strongly Interacting Matter in Magnetic Fields

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We investigate the surface of the chiral phase transition in the threedimensional parameter space of temperature, baryon chemical potential and magnetic field in two different approaches, the field-theoretical Nambu-Jona-Lasinio (NJL) model and the holographic Sakai-Sugimoto model. The latter is a top-down approach to a gravity dual of QCD with an asymptotically large number of colors and becomes, in a certain limit, dual to an NJL-like model. Our main observation is that, at nonzero chemical potential, a magnetic field can restore chiral symmetry, in apparent contrast to the phenomenon of magnetic catalysis. This "inverse magnetic catalysis" occurs in the Sakai-Sugimoto model and, for sufficiently large coupling, in the NJL model and is related to the physics of the lowest Landau level. While in most parts our discussion is a pedagogical review of previously published results, we include new analytical results for the NJL approach and a thorough comparison of inverse magnetic catalysis in the two approaches.

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Chiral modulations in curved space II: conifold geometries

Flachi

2012

J. High Energ. Phys.

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In this paper, we extend our previous analysis concerning the formation of inhomogeneous condensates in strongly-coupled fermion effective field theories on curved spaces and include the case of conifold geometries that represent the simplest tractable case of manifolds with curvature singularities. In the set-up considered here, by keeping the genuine thermodynamical temperature constant, we may single out the role that curvature effects play on the breaking/restoration of chiral symmetry and on the appearance of inhomogeneous phases. The first goal of this paper is to construct a general expression of the finite temperature effective action for inhomogeneous condensates in the case of fourfermion effective field theories on conifold geometries with generic Riemannian smooth base (generalised cones). The other goal is to implement numerically the above formal results and construct self-consistent solutions for the condensate. We explicitly show that the condensate assumes a kink-like profile, vanishing at the singularity that is surrounded by a bubble of restored chiral symmetry phase.

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Inhomogeneous phases in the Nambu–Jona-Lasinio and quark-meson model

Cited by 217 publications

References 43 publications

Inhomogeneous chiral condensates

Inhomogeneous chiral condensates

Inverse Magnetic Catalysis in Field Theory and Gauge-Gravity Duality

Chiral modulations in curved space II: conifold geometries

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