Cold QCD at finite isospin density: Confronting effective models with recent lattice data

Avancini, S. S.; Bandyopadhyay, Aritra; Duarte, Dyana C.; Farias, Ricardo L. S.

doi:10.1103/physrevd.100.116002

Cited by 27 publications

(31 citation statements)

References 69 publications

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“…9is not preserved away from the critical isospin chemical potential. This violation is also observed in model-dependent calculations within the Nambu-Jona-Lasinio (NJL) model [27,28]. For a recent review of meson condensation, see Ref.…”

Section: Introductionmentioning

confidence: 60%

Quark and pion condensates at finite isospin density in chiral perturbation theory

Adhikari

Andersen

2020

Eur. Phys. J. C

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In this paper, we consider two-flavor QCD at zero temperature and finite isospin chemical potential $$\mu _I$$ μ I using a model-independent analysis within chiral perturbation theory at next-to-leading order. We calculate the effective potential, the chiral condensate and the pion condensate in the pion-condensed phase at both zero and nonzero pionic source. We compare our finite pionic source results for the chiral condensate and the pion condensate with recent (2+1)-flavor lattice QCD results. Agreement with lattice results generally improves as one goes from leading order to next-to-leading order.

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Section: Introductionmentioning

confidence: 60%

Quark and pion condensates at finite isospin density in chiral perturbation theory

Adhikari

Andersen

2020

Eur. Phys. J. C

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“…[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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“…. , 8 are the Gell-Mann matrices, and the tilting angle α and the eight-dimensional unit vector n are the variational parameters that should be obtained maximizing Equation (55). The normal phase is easily described by α = 0, thusΣ =Σ N = I, but in general one should maximize Equation (55) with respect to eight independent parameters, which is a rather formidable task.…”

Section: Ground Statementioning

confidence: 99%

“…The meson condensed phases can also be studied by a modeling of the strong interaction by contact interaction terms [34][35][36][37][38][39][40][41][45][46][47]50,52,55], see [54] for a brief recent review. These models stem from the original work by Nambu and Jona Lasinio [113][114][115] of a pre-QCD Lagrangian for the description of the strong interaction by contact interaction terms:…”

Section: The Nambu-jona Lasinio Modelmentioning

confidence: 99%

Meson Condensation

Mannarelli

2019

Particles

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We give a pedagogical review of the properties of the various meson condensation phases triggered by a large isospin or strangeness imbalance. We argue that these phases are extremely interesting and powerful playground for exploring the properties of hadronic matter. The reason is that they are realized in a regime in which various theoretical methods overlap with increasingly precise numerical lattice QCD simulations, providing insight on the properties of color confinement and of chiral symmetry breaking.

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Cold QCD at finite isospin density: Confronting effective models with recent lattice data

Cited by 27 publications

References 69 publications

Quark and pion condensates at finite isospin density in chiral perturbation theory

Quark and pion condensates at finite isospin density in 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

Meson Condensation

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