Finite-size, chemical-potential and magnetic effects on the phase transition in a four-fermion interacting model

Corrêa, Emerson B.S.; Linhares, C. A.; Malbouisson, A. P. C.; Malbouisson, J. M. C.; Santana, A. E.

doi:10.1140/epjc/s10052-017-4815-8

Cited by 12 publications

(7 citation statements)

References 38 publications

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“…x τ ∈ [0, β] and x j ∈ [0, L j ] (j = 1, 2, 3) , with β = 1/T being the inverse of temperature T and L j the length of the compactified spatial dimensions. Consequently, the Feynman rules must be modified according to the so-called generalized Matsubara prescription [70][71][72][73][74],…”

Section: B Generalized Matsubara Prescriptionmentioning

confidence: 99%

Properties of neutral mesons in a hot and magnetized quark matter: size-dependent effects

Abreu,

Corrêa,

Nery

2021

Preprint

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In this work we investigate the combined finite-size and thermomagnetic effects on the properties of neutral mesons in a hot medium, in the context of the Nambu-Jona-Lasinio model. In particular, by using the mean-field approximation and the Schwinger proper time method in a toroidal topology with antiperiodic conditions, we evaluate the chiral phase transition, the constituent quark mass and meson observables like the π 0 and σ meson masses and pion decay constant under the change of the size, temperature, chemical potential and strength of external magnetic field. The results indicate that the observables are strongly affected by the conjoint effects of relevant variables, and the net result will depend on the balance of these competing phenomena.

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Section: B Generalized Matsubara Prescriptionmentioning

confidence: 99%

Properties of neutral mesons in a hot and magnetized quark matter: size-dependent effects

Abreu,

Corrêa,

Nery

2021

Preprint

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“…There are many discussions of the finite size effects [57,58,[60][61][62][63][64][65][66][67], and to incorporate it different strategies are employed, for example, replacing momentum integrals by the summations over discrete momentum [57,[60][61][62][63][64], introducing a lower momentum cutoff in integrals [67] or one can use the multiple reflection expansion [65].…”

Section: B Finite Size Effect and Nontrivial Topologymentioning

confidence: 99%

Charged Pion Condensation in Dense Quark Matter: Nambu–Jona-Lasinio Model Study

2019

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In this short review we tried to give an outline of investigations of charged pion condensation (PC) in dense baryonic (quark) matter in the framework of effective Nambu-Jona-Lasinio (NJL) type models. The possibility of charged PC phase in dense quark matter with isospin asymmetry is investigated. First, it is demonstrated that this phase can be realized in the framework of massless NJL model. But the existence of this phase is enormously fragile to the values of current quark mass and we show that charged PC phase is forbidden in electrically neutral dense quark matter with β-equilibrium when current quark masses are close to their physical value of 5.5 MeV. Nevertheless, then it is shown that in real physical systems there could be conditions promoting the appearance of charged PC phenomenon in dense quark matter, namely, it was shown that if one includes into consideration the fact that system can have finite size, then a dense charged PC phase can be realized there. It was also demonstrated that the possibility of inhomogeneous pion condensate might allow this phase to appear. And more recently it was revealed that there is another interesting factor that can induce a charged PC phase in dense quark matter even without isospin imbalance. It is a chiral imbalance of the system (non-zero difference between densities of left-and right-handed quarks). This results can be interesting in heavy ion collision experiments, where it is expected to get high baryon densities. It is of interest also in the context of the neutron stars, where quark matter might be realized in the core and very high baryon and isospin densities are attained.

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“…As a consequence, the Feynman rules explicited in the arguments of the sum-integral mixing in Eq. ( 12) must be replaced according to the generalized Matsubara prescription [57][58][59], i.e., 1…”

Section: B Generalized Matsubara Prescription and Proper-time Formalismmentioning

confidence: 99%

Finite-volume and magnetic effects on the phase structure of the three-flavor Nambu–Jona-Lasinio model

et al. 2019

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In this work we analyze the finite-volume and magnetic effects on the phase structure of a generalized version of Nambu-Jona-Lasinio model with three quark flavors. By making use of mean-field approximation and Schwinger's proper-time method in a toroidal topology with antiperiodic conditions, we investigate the gap equation solutions under the change of the size of compactified coordinates, strength of magnetic field, temperature and chemical potential. The 't Hooft interaction contributions are also evaluated. The thermodynamic behavior is strongly affected by the combined effects of relevant variables. The findings suggest that the broken phase is disfavored due to both increasing of temperature and chemical potential, and the drop of the cubic volume of size L, whereas it is stimulated with the augmentation of magnetic field. In particular, the reduction of L (remarkably at L ≈ 0.5 − 3 fm) engenders a reduction of the constituent masses for u, d, s-quarks through a crossover phase transition to the their corresponding current quark masses. On the other hand, the presence of a magnetic background generates greater values constituent quark masses, inducing smaller sizes and greater temperatures at which the constituent quark masses drop to the respective current ones.

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Finite-size, chemical-potential and magnetic effects on the phase transition in a four-fermion interacting model

Cited by 12 publications

References 38 publications

Properties of neutral mesons in a hot and magnetized quark matter: size-dependent effects

Properties of neutral mesons in a hot and magnetized quark matter: size-dependent effects

Charged Pion Condensation in Dense Quark Matter: Nambu–Jona-Lasinio Model Study

Finite-volume and magnetic effects on the phase structure of the three-flavor Nambu–Jona-Lasinio model

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