Chiral perturbation theory for nonzero chiral imbalance

Espriu, D.; Nicola, Á. Gómez; Vioque-Rodríguez, Andrea

doi:10.1007/jhep06(2020)062

Cited by 13 publications

(7 citation statements)

References 56 publications

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“…Four different pion masses were explored: m π = (563, 762, 910) MeV. It was found that the model follows the chiral perturbation theory prediction [74] ρ 5 = Λ QCD µ 5 : the chiral density depends linearly on the chiral chemical potential, there are no thresholds. The study reveals that the topological susceptibility increases with the chiral chemical potential, much in the same way as the chiral condensate did in the two-color study.…”

Section: Chiral Densitymentioning

confidence: 96%

Topological Aspects of Dense Matter: Lattice Studies

Lombardo¹

2021

Universe

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Topological fluctuations change their nature in the different phases of strong interactions, and the interrelation of topology, chiral symmetry and confinement at high temperature has been investigated in many lattice studies. This review is devoted to the much less explored subject of topology in dense matter. After a short overview of the status at zero density, which will serve as a baseline for the discussion, we will present lattice results for baryon rich matter, which, due to technical difficulties, has been mostly studied in two-color QCD, and for matter with isospin and chiral imbalances. In some cases, a coherent pattern emerges, and in particular the topological susceptibility seems suppressed at high temperature for baryon and isospin rich matter. However, at low temperatures the topological aspects of dense matter remain not completely clear and call for further studies.

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Section: Chiral Densitymentioning

confidence: 96%

Topological Aspects of Dense Matter: Lattice Studies

Lombardo¹

2021

Universe

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“…where S eff is introduced in Eq. (16). In what follows we are going to investigate the dependence of the global minimum point of the function (M, π a ) vs chemical potentials.…”

Section: The Modelmentioning

confidence: 99%

“…So in the most general case the chiral imbalance of dense quark matter can be described by two different chemical potentials, chiral μ 5 and chiral isospin μ I 5 , which are conjugated to the above densities, n 5 and n I 5 , correspondingly. There is a significant number of studies [7][8][9][10][11][12][13][14][15][16][17], in which the influence of the chiral imbalance on the phase structure was considered only in the form of the chiral chemical potential μ 5 . And it is thought that this form of chiral imbalance can be generated in the fireball after heavy-ion collision as a consequence of the famous chiral Adler-Bell-Jackiw anomaly and it plays an important role in the chiral magnetic effect phenomenon [18], etc.…”

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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“…From the theoretical side, people use various methods to study the QCD phase diagram. Such as chiral perturbation theory [1], finite energy sum rules [2], Dyson-Schwinger equations [3][4][5], Nambu-Jona-Lasinio (NJL) model and Polyakov-Nambu-Jona-Lasinio (PNJL) [6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

QCD phase diagram and critical exponents within the nonextensive Polyakov-Nambu-Jona-Lasinio model

Zhao,

Zuo,

2020

Preprint

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We present a nonextensive version of the Polyakov-Nambu-Jona-Lasinio model which is based on the nonextentive statistical mechanics. This new statistics is characterized by a dimensionless nonextensivity parameter q that accounts for all possible effects violating the assumptions of the Boltzmann-Gibbs (BG) statistics (when q → 1, it returns to the BG case). Based on the nonextensive Polyakov-Nambu-Jona-Lasinio model, we discussed the influence of the nonextensive effects on the QCD phase transition, especially on the location of the critical end point (CEP). A new and interesting phenomenon we found is that with the increase of q, the CEP position initially shifted toward the direction of larger chemical potential and lower temperature. But then, when q is greater than a critical value qc, the CEP position moves in the opposite direction. In other words, as q increases, the CEP position moves in the direction of smaller chemical potential and higher temperature. In addition, we calculated the influence of the nonextensive effects on the critical exponents and found that they remain almost constant with q.

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Chiral perturbation theory for nonzero chiral imbalance

Cited by 13 publications

References 56 publications

Topological Aspects of Dense Matter: Lattice Studies

Topological Aspects of Dense Matter: Lattice Studies

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

QCD phase diagram and critical exponents within the nonextensive Polyakov-Nambu-Jona-Lasinio model

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