Inhomogeneous chiral condensate in the quark-meson model

Adhikari, Prabal; Andersen, Jens O.; Kneschke, Patrick

doi:10.1103/physrevd.96.016013

Cited by 24 publications

(11 citation statements)

References 40 publications

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“…Typically, in the chiral limit including fluctuations, the phase diagram is of the second order at high temperature and low chemical potential, and of the first order at low temperature and high chemical potential. There exists a tri-critical point where the second order line changes into the first order one [8,[23][24][25]. We checked our calculations by reproducing this feature.…”

Section: Introductionmentioning

confidence: 89%

Functional renormalization group study of the quark-meson model with ω meson

et al. 2017

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We study the phase diagram of two-flavor massless QCD at finite baryon density by applying the functional renormalization group (FRG) for a quark-meson model with σ, π, and ω mesons. The dynamical fluctuations of quarks, σ, and π are included in the flow equations, while the amplitudes of ω fields are also allowed to fluctuate. At high temperature the effects of the ω field on the phase boundary are qualitatively similar to the mean-field calculations; the phase boundary is shifted to the higher chemical potential region. As the temperature is lowered, however, the transition line bends back to the lower chemical potential region, irrespective to the strength of the vector coupling. In our FRG calculations, the driving force of the low temperature first order line is the fluctuations rather than the quark density, and the effects of ω fields have little impact. At low temperature, the effective potential at small σ field is very sensitive to the infrared cutoff scale, and this significantly affects our determination of the phase boundaries. The critical chemical potential at the tricritical point is affected by the ω-field effects but its critical temperature stays around the similar value. Some caveats are given in interpreting our model results.

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Section: Introductionmentioning

confidence: 89%

Functional renormalization group study of the quark-meson model with ω meson

et al. 2017

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“…In the case ρ ¼ μ I ¼ 0, one can calculate V fin analytically, see Ref. [48] for an explicit evaluation. In the present case, it must be evaluated numerically.…”

Section: Effective Potentialmentioning

confidence: 99%

Chiral density wave versus pion condensation at finite density and zero temperature

Andersen

Kneschke

2018

Phys. Rev. D

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The quark-meson model is often used as a low-energy effective model for QCD to study the chiral transition at finite temperature T, baryon chemical potential μ B , and isospin chemical potential μ I . We determine the parameters of the model by matching the meson and quark masses, as well as the pion decay constant to their physical values using the on shell (OS) and modified minimal subtraction (MS) schemes. In this paper, the existence of different phases at zero temperature is studied. In particular, we investigate the competition between an inhomogeneous chiral condensate and a homogeneous pion condensate. For the inhomogeneity, we use a chiral-density wave ansatz. For a sigma mass of 600 MeV, we find that an inhomogeneous chiral condensate exists only for pion masses below approximately 37 MeV. We also show that due to our parameter fixing, the onset of pion condensation takes place exactly at μ

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“…If there is an isospin imbalance in the system, then, as shown in Refs. [64][65][66][67][68], the formation of s-wave Cooperūγ 5 d pairs (with quantum numbers of charged pions) is possible, their condensation leads to spontaneous breaking of the isotopic U I 3 (1) invariance (see in Eq. 2) and the appearance of the charged (s-wave) PC phenomenon in dense quark matter even under electric charge neutrality and β-equilibrium conditions (in the chiral limit, m 0 = 0, but without chiral imbalance) [61].…”

Section: Discussionmentioning

confidence: 99%

“…In connection with the physics of neutron star matter and experiments on heavy-ion collision, there has recently appeared an interest in the study of quark medium with isospin (isotopic) asymmetry. QCD phase diagram at nonzero values of the isotopic chemical potential μ I has been studied in different approaches, e.g., in lattice QCD approach [40][41][42][43][44][45][46][47][48], in ChPT [49][50][51][52][53], in different QCD-like effective models such as NJL model [34,38,[54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71], quark meson model [72,73], also in perturbative QCD (with diagrams resummation) [74,75], in effective theory at asymptotically high isospin density [76], in a random matrix model [77], in hadron resonance gas model [78]. It was shown in these papers that if there is an isospin imbalance then charged pion condensation (PC) phenomenon can be generated in quark matter.…”

Section: Introductionmentioning

confidence: 99%

Electrical neutrality and $$\beta $$-equilibrium conditions in dense quark matter: generation of charged pion condensation by chiral imbalance

2020

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The phase diagram of dense quark matter with chiral imbalance is considered with the conditions of electric neutrality and $$\beta $$ β -equilibrium. It has been shown recently that chiral imbalance can generate charged pion condensation (PC) in dense quark matter. It was, therefore, interesting to verify that this phenomenon takes place in realistic physical scenarios such as electrically neutral quark matter in $$\beta $$ β -equilibrium, because a window of charged PC at dense quark matter phase diagram (without chiral imbalance) predicted earlier was closed by the consideration of these conditions at the physical current quark mass. In this paper it has been shown that the charged PC phenomenon is generated by chiral imbalance in the dense electric neutral quark/baryonic matter in $$\beta $$ β -equilibrium, i.e. matter in neutron stars. It has also been demonstrated that charged PC is an inevitable phenomenon in dense quark matter with chiral imbalance if there is nonzero chiral imbalance in two forms, chiral and chiral isospin one. It seems that in this case charged PC phase can be hardly avoided by any physical constraint on isospin imbalance and that this conclusion can be probably generalized from neutron star matter to the matter produced in heavy ion collisions or in neutron star mergers. The chiral limit and the physical point (physical pion mass) have both been considered and it was shown that the appearance of charged PC is not much affected by the consideration of nonzero current quark mass.

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Inhomogeneous chiral condensate in the quark-meson model

Cited by 24 publications

References 40 publications

Functional renormalization group study of the quark-meson model with ω meson

Functional renormalization group study of the quark-meson model with ω meson

Chiral density wave versus pion condensation at finite density and zero temperature

Electrical neutrality and $$\beta $$-equilibrium conditions in dense quark matter: generation of charged pion condensation by chiral imbalance

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