One-meson-loop NJL model: Effect of collective and noncollective excitations on the quark condensate at finite temperature

Pereira, Renan Câmara; Costa, Pedro

doi:10.1103/physrevd.101.054025

Cited by 6 publications

(3 citation statements)

References 74 publications

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“…One should stress that both the magnetic field dependence of the pseudocritical temperature for partial chiral restoration as well as the temperature dependence of the magnetic field change induced renormalized chiral condensate are easily modified by considering further extensions of the model such as the inclusion of a Polyakov potential which mimics gluon dynamics and would modify the finite temperature aspects of the model. Also the idea that extensions of the model to include higher order interaction terms, for instance as in [33][34][35][36][37], or go beyond mean field corrections as in [38][39][40][41], could possibly fix these issues and deserves to be explored.…”

Section: B Fitting the Magnetic Field Dependencementioning

confidence: 99%

Magnetic field dependent ’t Hooft determinant extended Nambu–Jona-Lasinio model

2020

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We study the implications of recent lattice QCD results for the magnetic field dependence of the quarks dynamical masses on the 't Hooft determinant extended Nambu-Jona-Lasinio model in the light and strange quark sectors (up, down and strange). The parameter space is constrained at vanishing magnetic field, using the quarks dynamical masses and the meson spectra, whereas at nonvanishing magnetic field strength the dependence of the dynamical masses of two of the quark flavors is used to fit a magnetic field dependence on the model couplings, both the four-fermion Nambu-Jona-Lasinio interaction and the sixfermion 't Hooft flavor determinant. We found that this procedure reproduces the inverse magnetic catalysis, and the strength of the scalar coupling decreases with the magnetic field, while the strength of the six-fermion 't Hooft flavor determinant increases with the magnetic field.

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Section: B Fitting the Magnetic Field Dependencementioning

confidence: 99%

Magnetic field dependent ’t Hooft determinant extended Nambu–Jona-Lasinio model

2020

Self Cite

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show abstract

“…One should stress that both, the magnetic field dependence of the pseudocritical temperature for partial chiral restoration as well as the temperature dependence of the magnetic field change induced renormalized chiral condensate, are easily modified by considering further extensions of the model such as the inclusion of a Polyakov potential which mimics gluon dynamics and would modify the finite temperature aspects of the model. Also the idea that extensions of the model to include higher order interaction terms, for instance as in [32][33][34][35][36], or go beyond mean field corrections as in [37][38][39][40], could possibly fix these issues and deserves to be explored.…”

Section: (B) and 5(c))mentioning

confidence: 99%

Magnetic field dependent 't Hooft determinant extended Nambu--Jona-Lasinio Model

Moreira,

Costa,

Restrepo

2020

Preprint

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We study the implications of recent lattice QCD results for the magnetic field dependence of the quarks dynamical masses on the 't Hooft determinant extended Nambu-Jona-Lasinio Model in the light and strange quark sectors (up, down and strange). The parameter space is constrained at vanishing magnetic field, using the quarks dynamical masses and the meson spectra, whereas at non-vanishing magnetic field strength the dependence of the dynamical masses of two of the quark flavors is used to fit a magnetic field dependence on the model couplings, both the four-fermion Nambu-Jona-Lasinio interaction and the six-fermion 't Hooft flavor determinant. We found that this procedure reproduces the inverse magnetic catalysis, and the strength of the scalar coupling decreases with the magnetic field, while the strength of the six-fermion 't Hooft flavor determinant increases with the magnetic field.

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“…Model calculations, using the Nambu−Jona-Lasinio (NJL) model or the quark-meson (QM) model, can be improved by going beyond the common mean field approximation (MF) [22][23][24][25][26][27][28][29][30]. Usually, when dealing with these chiral effective models, the quark contribution to the path integral can be reduced to a quadratic interaction and be exactly integrated out.…”

Section: Introductionmentioning

confidence: 99%

Functional renormalization group study of the critical region of the quark-meson model with vector interactions

Pereira,

Stiele,

Costa

2020

Preprint

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The critical region of the two flavour quark-meson model with vector interactions is explored using the Functional Renormalization Group technique, a non-perturbative method that takes into account quantum and thermal fluctuations. Special attention is given to the low temperature and high density region of the phase diagram, which is very important for the evolution of proto-neutron stars and to construct the equation of state of compact stars. As in previous studies, without repulsive vector interaction, an unphysical region of negative entropy density is found near the first order chiral phase transition. We explore the connection between this unphysical region and the chiral critical region, especially the first order line and spinodal lines, using also different values for vector interactions. The effect of finite vector interactions in the critical region is explored. We find that the unphysical negative entropy density region appears because the s = 0 isentropic line, near the critical region, is displaced from its T = 0 location. For certain values of vector interactions this region is pushed to lower temperatures and high chemical potentials in such way that the negative entropy density region on the phase diagram of the model can even disapear. In the case of finite vector interactions, the location of the critical end point has a non-trivial behaviour in the T − µB plane, which differs from that in mean-field calculations.

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One-meson-loop NJL model: Effect of collective and noncollective excitations on the quark condensate at finite temperature

Cited by 6 publications

References 74 publications

Magnetic field dependent ’t Hooft determinant extended Nambu–Jona-Lasinio model

Magnetic field dependent ’t Hooft determinant extended Nambu–Jona-Lasinio model

Magnetic field dependent 't Hooft determinant extended Nambu--Jona-Lasinio Model

Functional renormalization group study of the critical region of the quark-meson model with vector interactions

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