Phase diagram for the Nambu–Jona-Lasinio model with ’t Hooft and eight-quark interactions

Hiller, Brigitte; Moreira, J. António; Osipov, A. A.; Blin, A. H.

doi:10.1103/physrevd.81.116005

Cited by 45 publications

(66 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In set (c) we put g 1 ¼ 2500 without loss of generality, since a change in g 1 can be counterbalanced by a change in G leaving all other parameters and observables unchanged, except for the low lying σ-meson mass, see e.g. [62,79], which does not affect the pseudoscalar characteristics considered here. Table III displays the couplings related with the ESB interactions.…”

Section: Results and Further Discussionmentioning

confidence: 99%

π0−η−η′mixing in a generalized multiquark interaction scheme

2016

Self Cite

View full text Add to dashboard Cite

We investigate the isospin symmetry breaking effects within a recently derived Nambu-Jona-Lasinio related model by fitting the measured pseudoscalar meson masses and weak decay couplings f π , f K . Our model contains the next to leading order terms in the 1=N c expansion of the effective multiquark Lagrangian, including the ones that break the chiral symmetry explicitly. We show the important phenomenological role of these interactions: (1) They lead to an accurate fit of the low-lying pseudoscalar nonet characteristics. (2) They account for a very good agreement of the current quark masses with the present PDG values. (3) They reduce by 40% the ratio ϵ=ϵ 0 of the π 0 − η and π 0 − η 0 mixing angles, as compared to the case that contemplates explicit breaking only in the leading order, bringing it in consonance with the quoted values in the literature. The conventional NJL-type models fail in the joint description of these parameters.

show abstract

Section: Results and Further Discussionmentioning

confidence: 99%

π0−η−η′mixing in a generalized multiquark interaction scheme

2016

Self Cite

View full text Add to dashboard Cite

show abstract

“…Since then several studies were done to analyze the properties of this model as well as to improve the model step by step. Improvements in the model for inclusion of eight-quark interactions in the NJL part [44][45][46][47] necessary in order to stabilize the ground state, were introduced in [48,50,53]. In ref.…”

Section: Introductionmentioning

confidence: 99%

Reparametrizing the Polyakov–Nambu–Jona-Lasinio model

et al. 2017

View full text Add to dashboard Cite

The Polyakov−Nambu−Jona-Lasinio model has been quite successful in describing various qualitative features of observables for strongly interacting matter, that are measurable in heavy-ion collision experiments. The question still remains on the quantitative uncertainties in the model results. Such an estimation is possible only by contrasting these results with those obtained from first principles using the lattice QCD framework. Recently a variety of lattice QCD data were reported in the realistic continuum limit. Here we make a first attempt at reparametrizing the model so as to reproduce these lattice data. We find excellent quantitative agreement for the equation of state. Certain discrepancies in the charge and strangeness susceptibilities as well as baryon-charge correlation still remain. We discuss their causes and outline possible directions to remove them.

show abstract

“…From the theoretical point of view, the location of the CEP has been intensively investigated by using lattice QCD calculations (despite the fermion sign problem, extrapolation methods have been used to access the region of small chemical potentials and look for the CEP [8]), and more recently by using Dyson-Schwinger equations [9]. Also, effective models such as the NambuJona-Lasinio (NJL) model and its extensions, like the NJL model with eight-quark interactions and the PolyakovNambu-Jona-Lasinio (PNJL) model, have been used to study critical properties around the CEP [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Influence of the vector interaction and an external magnetic field on the isentropes near the chiral critical end point

Costa

2016

Phys. Rev. D

View full text Add to dashboard Cite

The location of the critical end point (CEP) and the isentropic trajectories in the QCD phase diagram are investigated. We use the (2 þ 1) Nambu-Jona-Lasinio model with the Polyakov loop coupling for different scenarios, namely by imposing zero strange quark density, which is the case in the ultrarelativistic heavy ion collisions, and β equilibrium. The influence of strong magnetic fields and of the vector interaction on the isentropic trajectories around the CEP is discussed. It is shown that the vector interaction and the magnetic field, having opposite effects on the first-order transition, affect the isentropic trajectories differently: as the vector interaction increases, the first-order transition becomes weaker and the isentropes become smoother; when a strong magnetic field is considered, the first-order transition is strengthened and the isentropes are pushed to higher temperatures. No focusing of isentropes in region towards the CEP is seen.

show abstract

Phase diagram for the Nambu–Jona-Lasinio model with ’t Hooft and eight-quark interactions

Cited by 45 publications

References 42 publications

π0−η−η′mixing in a generalized multiquark interaction scheme

π0−η−η′mixing in a generalized multiquark interaction scheme

Reparametrizing the Polyakov–Nambu–Jona-Lasinio model

Influence of the vector interaction and an external magnetic field on the isentropes near the chiral critical end point

Contact Info

Product

Resources

About