Inhomogeneous phases in the quark-meson model with vacuum fluctuations

Carignano, Stefano; Buballa, Michael; Schaefer, Bernd-Jochen

doi:10.1103/physrevd.90.014033

Cited by 63 publications

(106 citation statements)

References 67 publications

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“…Only very recently the study of inhomogeneous phases has been performed in a properly "renormalized" quark-meson model [80]. The main result is shown in Fig.…”

Section: Model Resultsmentioning

confidence: 77%

“…while including the Dirac sea only leads to a modification of the prefactor [80]. Thus, in both cases, LP and CP coincide if m σ = 2M vac .…”

Section: Quark-meson Modelmentioning

confidence: 99%

“…However, keeping f π , M vac and m σ constant, while gradually increasing Λ, any observable should eventually converge against its renormalized value. This also applies to the phase diagram, which was found to be essentially cutoff independent for Λ 2 GeV in the Pauli-Villars scheme [80], see Sec. 4.2.…”

Section: Renormalization Of the Dirac Seamentioning

confidence: 99%

“…A closer inspection reveals that the relative location of the two points strongly depends on the ratio between the vacuum masses of the constituent quark and the sigma meson [80]. Indeed, for the sMFA relations, given in Eq.…”

Section: Quark-meson Modelmentioning

confidence: 99%

“…Such a comparison has been performed in [80] within the renormalized QM model and is shown in Fig. 15.…”

Section: Comparison With Other One-dimensional Modulationsmentioning

confidence: 99%

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Inhomogeneous chiral condensates

Buballa

Carignano

2015

Progress in Particle and Nuclear Physics

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247

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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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“…Only very recently the study of inhomogeneous phases has been performed in a properly "renormalized" quark-meson model [80]. The main result is shown in Fig.…”

Section: Model Resultsmentioning

confidence: 77%

“…while including the Dirac sea only leads to a modification of the prefactor [80]. Thus, in both cases, LP and CP coincide if m σ = 2M vac .…”

Section: Quark-meson Modelmentioning

confidence: 99%

Section: Renormalization Of the Dirac Seamentioning

confidence: 99%

Section: Quark-meson Modelmentioning

confidence: 99%

“…Such a comparison has been performed in [80] within the renormalized QM model and is shown in Fig. 15.…”

Section: Comparison With Other One-dimensional Modulationsmentioning

confidence: 99%

See 3 more Smart Citations

Inhomogeneous chiral condensates

Buballa

Carignano

2015

Progress in Particle and Nuclear Physics

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247

258

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Generalized Ginzburg–Landau approach to inhomogeneous phases in nonlocal chiral quark models

2015

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We analyze the presence of inhomogeneous phases in the QCD phase diagram within the framework of nonlocal chiral quark models. We concentrate in particular in the positions of the tricritical (TCP) and Lifshitz (LP) points, which are studied in a general context using a generalized Ginzburg-Landau approach. We find that for all the phenomenologically acceptable model parametrizations considered the TCP is located at a higher temperature and a lower chemical potential in comparison with the LP. Consequently, these models seem to favor a scenario in which the onset of the first order transition between homogeneous phases is not covered by an inhomogeneous, energetically favored phase.

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Inhomogeneous chiral phases away from the chiral limit

Buballa

Carignano

2019

Physics Letters B

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The effect of explicit chiral-symmetry breaking on inhomogeneous chiral phases is studied within a Nambu-Jona-Lasinio model with nonzero current quark mass. Generalizing an earlier result obtained in the chiral limit, we show within a Ginzburg-Landau analysis that the critical endpoint of the first-order chiral phase boundary between two homogeneous phases gets replaced by a "pseudo-Lifshitz point" when the possibility of inhomogeneous order parameters is considered. Performing a stability analysis we also show that the unstable mode along the phase boundary is in the scalar but not in the pseudoscalar channel, suggesting that modulations which contain pseudoscalar condensates, like a generalized dual chiral density wave, are disfavored against purely scalar ones. Numerically we find that the inhomogeneous phase shrinks as one moves away from the chiral limit, but survives even at significantly large values of the current quark mass.

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Inhomogeneous phases in the quark-meson model with vacuum fluctuations

Cited by 63 publications

References 67 publications

Inhomogeneous chiral condensates

Inhomogeneous chiral condensates

Generalized Ginzburg–Landau approach to inhomogeneous phases in nonlocal chiral quark models

Inhomogeneous chiral phases away from the chiral limit

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