Vacuum fluctuations and the thermodynamics of chiral models

Skokov, Vladimir V.; Friman, Bengt; Nakano, Eiji; Redlich, K.; Schaefer, B.

doi:10.1103/physrevd.82.034029

Cited by 176 publications

(237 citation statements)

References 51 publications

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“…3.2). The latter is known from homogeneous studies to be absent in the sMFA , while it exists when the Dirac sea is included [79], and hence the LP behaves in the same way. However, as we have seen in Sec.…”

Section: Model Resultsmentioning

confidence: 85%

“…In the sMFA, however, the vacuum term is dropped, and therefore this cancellation does not occur [79]. As a consequence, the phase transition at µ = 0, which is expected to be of second order for two massless flavors, becomes first order, if the analysis is restricted to homogeneous phases.…”

Section: Quark-meson Modelmentioning

confidence: 99%

“…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]. In more recent calculations, the quark Dirac-sea contribution was therefore reinstalled and effectively renormalized.…”

Section: Renormalization Of the Dirac Seamentioning

confidence: 99%

“…In more recent calculations, the quark Dirac-sea contribution was therefore reinstalled and effectively renormalized. As a result the phase transition at µ = 0 becomes second order [79]. This framework was applied to inhomogeneous phases in Ref.…”

Section: Renormalization Of the Dirac Seamentioning

confidence: 99%

See 3 more Smart Citations

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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Section: Model Resultsmentioning

confidence: 85%

Section: Quark-meson Modelmentioning

confidence: 99%

Section: Renormalization Of the Dirac Seamentioning

confidence: 99%

Section: Renormalization Of the Dirac Seamentioning

confidence: 99%

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Inhomogeneous chiral condensates

Buballa

Carignano

2015

Progress in Particle and Nuclear Physics

247

258

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“…Since we have quark degrees of freedom, we can couple the model to a baryon chemical potential µ B and study finite-density effects. The QM model has been used to study various aspects of the chiral transition at µ B = 0 [3][4][5][6][7] and µ B = 0 [8][9][10]. Schwinger-Dyson equations were used in [12].…”

Section: Introductionmentioning

confidence: 99%

Chiral transition in a magnetic field and at finite baryon density

Andersen

Khan

2012

Phys. Rev. D

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We consider the quark-meson model with two quark flavors in a constant external magnetic field B at finite temperature T and finite baryon chemical potential µB. We calculate the full renormalized effective potential to one-loop order in perturbation theory. We study the system in the largeNc limit, where we treat the bosonic modes at tree level. It is shown that the system exhibits dynamical chiral symmetry breaking, i. e. that an arbitrarily weak magnetic field breaks chiral symmetry dynamically, in agreement with earlier calculations using the NJL model. We study the influence on the phase transition of the fermionic vacuum fluctuations. For strong magnetic fields, |qB| ∼ 5m 2 π and in the chiral limit, the transition is first order in the entire µB − T plane if vacuum fluctuations are not included and second order if they are included. At the physical point, the transition is a crossover for µB = 0 with and without vacuum fluctuations.

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Dark confinement and chiral phase transitions: gravitational waves vs matter representations

Reichert

Sannino

Wang

et al. 2022

J. High Energ. Phys.

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We study the gravitational-wave signal stemming from strongly coupled models featuring both, dark chiral and confinement phase transitions. We therefore identify strongly coupled theories that can feature a first-order phase transition. Employing the Polyakov-Nambu-Jona-Lasinio model, we focus our attention on SU(3) Yang-Mills theories featuring fermions in fundamental, adjoint, and two-index symmetric representations. We discover that for the gravitational-wave signals analysis, there are significant differences between the various representations. Interestingly we also observe that the two-index symmetric representation leads to the strongest first-order phase transition and therefore to a higher chance of being detected by the Big Bang Observer experiment. Our study of the confinement and chiral phase transitions is further applicable to extensions of the Standard Model featuring composite dynamics.

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Vacuum fluctuations and the thermodynamics of chiral models

Cited by 176 publications

References 51 publications

Inhomogeneous chiral condensates

Inhomogeneous chiral condensates

Chiral transition in a magnetic field and at finite baryon density

Dark confinement and chiral phase transitions: gravitational waves vs matter representations

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