A new treatment of the in-medium chiral condensates

Peng, Guang-Xiong; Loewe, M.; Lombardo, U.; Wen, Xin-Jian

doi:10.1016/j.nuclphysbps.2004.04.175

Cited by 4 publications

(1 citation statement)

References 25 publications

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“…Figure 1 shows the chiral condensate at finite temperature and isospin chemical potential. It is interesting to remark that the chiral condensate vanishes also, almost linearly with the baryonic density [21].…”

Section: First Phase: |µI| < Mmentioning

confidence: 97%

Two-flavor condensates in chiral dynamics: Temperature and isospin density effects

Loewe

Villavicencio

2005

Phys. Rev. D

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Isospin density and thermal corrections for several condensates are discussed, at the one-loop level, in the frame of chiral dynamics with pionic degrees of freedom. The evolution of such objects give an additional insight into the condensed-pion phase transition, that occurs basically when |µI| > mπ, being |µI| the isospin chemical potential. Calculations are done in both phases, showing a good agreement with lattice results for such condensates.This paper is an extension of our previous analysis of pion dynamics, according to chiral perturbation theory, in the presence of isospin chemical potential and temperature. In the first article [1] we discussed the evolution of the masses and decay constants from the perspective of the first phase (|µ I | < m π ). In the second paper [2], we proposed a scheme of calculation in the second phase for the pion masses (|µ I | > m π ). The method allowed us to explore the regions where the chemical potential is close to the phase transition point (|µ I | m π ) and also where |µ I | ≫ m π . The validity of this approach is restricted to values of µ I less than the η or ρ masses.Here we would like to address the thermal and density behavior of several condensates that can be buit in this frame, as well as the validity of the Gell-Mann-Oakes-Renner (GMOR) relation, completing in this way the discussion of the pion properties. We compare our results with those obtained through lattice measurements.This analysis is relevant since some of these condensates are sharp signals for the occurrence of the phase transition, i.e., phenomenological order parameters. Natural scenarios where this dynamics can play a role are in the core of neutron stars (especially during the cooling period), possible asymmetries in the pion multiplicity in the central rapidity region at RHIC or ALICE, etc.As in the previous articles, we introduce the chemical potential following [3,4]. Even though, these articles deal with QCD with two colors rather than QCD with three colors, it is clear that both problems are intimately related. The introduction of in-medium processes via isospin chemical potential has been studied at zero temperature [5,6] in both phases (|µ I | ≶ m π ) at tree level.Different approaches, such as Lattice QCD [7,8,9,10], Ladder QCD [11] and Nambu-Jona-Lasinio model based analysis [12,13,14,15,16] have confirmed the appearance of an interesting and non-trivial phase structure as function of temperature and chemical potentials, in particular isospin, chemical potential.

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Section: First Phase: |µI| < Mmentioning

confidence: 97%

Two-flavor condensates in chiral dynamics: Temperature and isospin density effects

Loewe

Villavicencio

2005

Phys. Rev. D

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Thermodynamics with density and temperature dependent particle masses and properties of bulk strange quark matter and strangelets

et al. 2005

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Thermodynamic formulas for investigating systems with density and/or temperature dependent particle masses are generally derived from the fundamental derivation equality of thermodynamics. Various problems in the previous treatments are discussed and modified. Properties of strange quark matter in bulk and strangelets at both zero and finite temperature are then calculated based on the new thermodynamic formulas with a new quark mass scaling, which indicates that low mass strangelets near β equilibrium are multi-quark states with an anti-strange quark, such as the pentaquark (u 2 d 2s ) for baryon nmber 1 and the octaquark (u 4 d 3s ) for dibaryon etc.

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Deconfinement phase transition in hybrid neutron stars from the Brueckner theory with three-body forces and a quark model with chiral mass scaling

Peng

Lombardo

2008

Phys. Rev. C

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We study the properties of strange quark matter in equilibrium with normal nuclear matter. Instead of using the conventional bag model in quark sector, we achieve the confinement by a density-dependent quark mass derived from in-medium chiral condensates. In nuclear matter, we adopt the equation of state from the Brueckner-Bethe-Goldstone approach with three-body forces. It is found that the mixed phase can occur, for a reasonable confinement parameter, near the normal nuclear saturation density, and goes over into pure quark matter at about 5 times the saturation. The onset of mixed and quark phases is compatible with the observed class of low-mass neutron stars, but it hinders the occurrence of kaon condensation.

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A new treatment of the in-medium chiral condensates

Cited by 4 publications

References 25 publications

Two-flavor condensates in chiral dynamics: Temperature and isospin density effects

Two-flavor condensates in chiral dynamics: Temperature and isospin density effects

Thermodynamics with density and temperature dependent particle masses and properties of bulk strange quark matter and strangelets

Deconfinement phase transition in hybrid neutron stars from the Brueckner theory with three-body forces and a quark model with chiral mass scaling

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