Equation of state of imbalanced cold matter from chiral perturbation theory

Carignano, Stefano; Mammarella, Andrea; Mannarelli, Massimo

doi:10.1103/physrevd.93.051503

Cited by 22 publications

(30 citation statements)

References 38 publications

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“…We also assume that the strange quark chemical potential is so small that it does not allow the appearance of kaons. The present analysis can be easily extended to the kaon condensed phase, see for example the discussion in [32]. Since we only deal with mesons, the baryonic chemical potential µ B does not appear in the Lagrangian.…”

Section: Introductionmentioning

confidence: 95%

“…This is the expected behavior for a system evolving towards a BCS phase. Unfortunately, the BEC-BCS crossover is expected to happen at γ ≃ √ 3, see [32], and it is therefore outside the range of the low-density expansion.…”

Section: Low Energy Description Of the Normal Phase-bec Phase Transitionmentioning

confidence: 99%

“…As a remarkable example, in the lattice QCD simulations of [5] it was found that the ratio between the energy density and the StefanBoltzmann energy density has a peak at µ peak I ≃ 1.27m π . In [32] it has been shown that this peak structure can be accurately described using the LO χPT Lagrangian, with an analytic result for the peak position µ peak I = ( √ 13 − 2 ) 1/2 m π ≃ 1.27 m π . This peak seems to be related with the saturation of the pion condensate.…”

Section: Introductionmentioning

confidence: 99%

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Scrutinizing the pion condensed phase

et al. 2017

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Abstract. When the isospin chemical potential exceeds the pion mass, charged pions condense in the zeromomentum state forming a superfluid. Chiral perturbation theory provides a very powerful tool for studying this phase. However, the formalism that is usually employed in this context does not clarify various aspects of the condensation mechanism and makes the identification of the soft modes problematic. We re-examine the pion condensed phase using different approaches within the chiral perturbation theory framework. As a first step, we perform a low-density expansion of the chiral Lagrangian valid close to the onset of the Bose-Einstein condensation. We obtain an effective theory that can be mapped to a Gross-Pitaevskii Lagrangian in which, remarkably, all the coefficients depend on the isospin chemical potential. The lowdensity expansion becomes unreliable deep in the pion condensed phase. For this reason, we develop an alternative field expansion deriving a low-energy Lagrangian analog to that of quantum magnets. By integrating out the "radial" fluctuations we obtain a soft Lagrangian in terms of the Nambu-Goldstone bosons arising from the breaking of the pion number symmetry. Finally, we test the robustness of the second-order transition between the normal and the pion condensed phase when next-to-leading-order chiral corrections are included. We determine the range of parameters for turning the second-order phase transition into a first-order one, finding that the currently accepted values of these corrections are unlikely to change the order of the phase transition.

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Section: Introductionmentioning

confidence: 95%

Section: Low Energy Description Of the Normal Phase-bec Phase Transitionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Scrutinizing the pion condensed phase

et al. 2017

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“…Many aspects of pion condensate have been extensively studied in the effective field theories [57][58][59][60][61][62], lattice simulations [44,[63][64][65][66], Dyson-Schwinger equations [67] and effective models [67][68][69][70][71][72][73][74][75][76][77]. We also mention that a new type of compact star made of a charged pion condensate has been proposed recently [61,[78][79][80].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics and susceptibilities of isospin imbalanced QCD matter

2020

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We study the thermodynamics and the susceptibilities of quark matter in the framework of twoflavor Nambu−Jona-Lasinio model at finite isospin chemical potential and temperature. Isospin number density, normalized energy density and trace anomaly are shown to be in good agreement with the available lattice data as well as with the results from chiral perturbation theory at zero temperature. We also study how susceptibilities depend on the isospin chemical potential and on temperature. We find a peak for the chiral, pion, and isospin susceptibilities at the critical isospin chemical potential, µ c I (T ), at the boundary of the phase transition between the normal and pion superfluid phase. Moreover, temperature makes the transition from normal to pion condended phase smoother. We also note that the pion susceptibility always remains zero in the normal phase while it is finite in the superfluid phase.

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“…The pQCD results of [66] (orange dotted line) indicate a constant asymptotic energy density. The χPT leading order results of [27] (dashed black line) and the mean field NJL results (solid blue line), see [38,49], perfectly reproduce the peak structure at µ I 1.27 m π .…”

Section: Comparison With Lattice Qcdmentioning

confidence: 55%

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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Equation of state of imbalanced cold matter from chiral perturbation theory

Cited by 22 publications

References 38 publications

Scrutinizing the pion condensed phase

Scrutinizing the pion condensed phase

Thermodynamics and susceptibilities of isospin imbalanced QCD matter

Meson Condensation

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