Lowering the critical temperature with eight-quark interactions

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

doi:10.1016/j.physletb.2007.01.026

Cited by 42 publications

(59 citation statements)

References 30 publications

(28 reference statements)

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“…The values of the masses and effective coupling constants shown in Table I are in very good agreement with phenomenological fits in the investigation of the spontaneously broken chiral symmetry and light hadron structure [2,16,17]. The effective quark masses m * f are very close to the values for the effective masses M * f obtained from the scalar quark condensates S f , but a little smaller for the strange quark mass.…”

Section: Effective Quark Interactions and Coupling Constantssupporting

confidence: 76%

“…In spite of the recent controversy on the formation of the scalar quark condensate [5][6][7] it is widely recognized its contribution for example for the nucleon and quark masses [8][9][10], even if gluon dressing might also be important [11]. It is however very important to extend its validity and refine its predictions by including further effective quark interactions [12][13][14][15][16][17][18][19]. For the high energy limit of the phase diagram, Polyakov loops were included to incorporate the deconfinement phase transition [18], extending the validity of the model.…”

Section: Introduction and Extended Nambu-jona-lasinio Model From Qcdmentioning

confidence: 99%

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Vacuum polarization corrections to low energy quark effective couplings

Paulo

Braghin

2014

Phys. Rev. D

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In this work corrections to low energy punctual effective quark couplings up to the eighth order are calculated by considering vacuum polarization effects with the scalar quark-antiquark condensate. The departing point is a QCD-based NJL model. By separating the quark field into two components, one that condenses and another one for interacting quarks, the former is integrated out with the help of usual auxiliary fields and an effective action in terms for interacting quark fields is found. The scalar auxiliary field reduces to the quark-antiquark condensate in the vacuum and the determinant is expanded in powers of the quark-antiquark bilinears generating chiral invariant effective 2N-quark interactions (N = 2, 3...). The corresponding coupling constants and effective masses are estimated, and the general trend is that for increasing the effective gluon mass the values of the effective coupling constants decrease. All the values are in good agreement with phenomenological fits.

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Section: Effective Quark Interactions and Coupling Constantssupporting

confidence: 76%

Section: Introduction and Extended Nambu-jona-lasinio Model From Qcdmentioning

confidence: 99%

Vacuum polarization corrections to low energy quark effective couplings

Paulo

Braghin

2014

Phys. Rev. D

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“…[10]. Similar effects are also seen in the three flavor NJL model [29,30]. Meanwhile, the σ 4 interaction affects the Polyakov loop little.…”

supporting

confidence: 64%

Critical endpoint in the Polyakov-loop extended NJL model

et al. 2008

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The critical endpoint (CEP) and the phase structure are studied in the Polyakov-loop extended Nambu-Jona-Lasinio model in which the scalar type eight-quark (σ 4 ) interaction and the vector type four-quark interaction are newly added. The σ 4 interaction largely shifts the CEP toward higher temperature and lower chemical potential, while the vector type interaction does oppositely.At zero chemical potential, the σ 4 interaction moves the pseudo-critical temperature of the chiral phase transition to the vicinity of that of the deconfinement phase transition.

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“…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

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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.

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Lowering the critical temperature with eight-quark interactions

Cited by 42 publications

References 30 publications

Vacuum polarization corrections to low energy quark effective couplings

Vacuum polarization corrections to low energy quark effective couplings

Critical endpoint in the Polyakov-loop extended NJL model

Reparametrizing the Polyakov–Nambu–Jona-Lasinio model

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