Pion condensation and phase diagram in the Polyakov-loop quark-meson model

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

doi:10.1103/physrevd.98.074016

Cited by 51 publications

(24 citation statements)

References 66 publications

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“…The quark-meson model-based results of Ref. [17] are largely in agreement with the latticeresults except for the chiral (deconfinement) transition, which occurs at higher temperatures in the model, which may be explained by the presence of only two lightest quark flavors unlike the lattice study, which also includes the strange quark.…”

Section: Introductionsupporting

confidence: 68%

“…Most recently, finite isospin QCD has been studied using lattice methods for a wide range of chemical potentials (including intermediate ones). Additionally, there is also a modeldependent study based on the quark-meson model that incorporates quarks fluctuations (at one-loop in the on-shell renormalization scheme) with results that are largely in agreement with lattice results [17].…”

Section: Introductionsupporting

confidence: 56%

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Magnetic vortex lattices in finite isospin chiral perturbation theory

Adhikari

2019

Physics Letters B

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We study finite isospin chiral perturbation theory (χPT) in a uniform external magnetic field and find the condensation energy of magnetic vortex lattices using the method of successive approximations (originally used by Abrikosov) near the upper critical point beyond which the system is in the normal vacuum phase. The difference between standard Ginzburg-Landau (GL) theory (or equivalently the Abelian Higgs model) and χPT arises due to the presence of additional momentum-dependent (derivative) interactions in χPT and the presence of electromagnetically neutral pions that interact with the charged pions via strong interactions but do not couple directly to the external magnetic field. We find that while the vortex lattice structure is hexagonal similar to vortices in GL theory, the condensation energy (relative to the normal vacuum state in a uniform, external magnetic field) is smaller (larger in magnitude) due to the presence of derivative interactions. Furthermore, we establish that neutral pions do not condense in the vortex lattice near the upper critical field.

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Section: Introductionsupporting

confidence: 68%

Section: Introductionsupporting

confidence: 56%

Magnetic vortex lattices in finite isospin chiral perturbation theory

Adhikari

2019

Physics Letters B

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“…There have been a number of studies in recent years comparing (2 + 1) flavor lattice QCD results with both QCD models and effective theories. Recently, the NJL model (non-renormalizable) comparisons [33] were made that showed good agreement with the lattice while the quark-meson model [38] (which is renormalizable) largely agrees with the lattice. Furthermore, there have been other comparisons of lattice QCD with results from an effective field theory (and model-independent) description [18], which is valid for asymptotically large isospin chemical potentials [16], where the pions behave as a free Bose gas.…”

Section: Jhep06(2020)170mentioning

confidence: 97%

“…[5,[14][15][16][17][18][19] one can find various applications of χPT including some partial next-to-leading order results. Since then finite isospin systems have been studied extensively in other versions of QCD including two-color and adjoint QCD [20,21], in the NJL [22][23][24][25][26][27][28][29][30][31][32][33][34], in the quark-meson model [35][36][37][38], but also through lattice QCD, where it does not suffer from the fermion sign problem (except at finite magnetic fields [39,40] due to the charge asymmetry of the up and down quarks). The first lattice QCD calculations of finite isospin QCD were done in refs.…”

Section: Jhep06(2020)170mentioning

confidence: 99%

Pion and kaon condensation at zero temperature in three-flavor χPT at nonzero isospin and strange chemical potentials at next-to-leading order

Adhikari

Andersen

2020

J. High Energ. Phys.

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We consider three-flavor chiral perturbation theory (χPT) at zero temperature and nonzero isospin (µ I ) and strange (µ S ) chemical potentials. The effective potential is calculated to next-to-leading order (NLO) in the π ± -condensed phase, the K ± -condensed phase, and the K 0 /K 0 -condensed phase. It is shown that the transitions from the vacuum phase to these phases are second order and take place when, |µ, respectively at tree level and remains unchanged at NLO. The transition between the two condensed phases is first order. The effective potential in the pion-condensed phase is independent of µ S and in the kaon-condensed phases, it only depends on the combinations ± 1 2 µ I + µ S and not separately on µ I and µ S . We calculate the pressure, isospin density and the equation of state in the pion-condensed phase and compare our results with recent (2 + 1)-flavor lattice QCD data. We find that the threeflavor χPT results are in good agreement with lattice QCD for µ I < 200 MeV, however for larger values χPT produces values for observables that are consistently above lattice results. For µ I > 200 MeV, the two-flavor results are in better agreement with lattice data. Finally, we consider the observables in the limit of very heavy s-quark, where they reduce to their two-flavor counterparts with renormalized couplings. The disagreement between the predictions of two and three flavor χPT can largely be explained by the differences in the experimental values of the low-energy constants.

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“…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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Pion condensation and phase diagram in the Polyakov-loop quark-meson model

Cited by 51 publications

References 66 publications

Magnetic vortex lattices in finite isospin chiral perturbation theory

Magnetic vortex lattices in finite isospin chiral perturbation theory

Pion and kaon condensation at zero temperature in three-flavor χPT at nonzero isospin and strange chemical potentials at next-to-leading order

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

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