Electrical neutrality and pion modes in the two flavor Polyakov–Nambu–Jona-Lasinio model

Abuki, Hiroaki; Ciminale, M.; Gatto, R.; Ippolito, N.; Nardulli, G.; Ruggieri, Marco

doi:10.1103/physrevd.78.014002

Cited by 61 publications

(76 citation statements)

References 41 publications

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“…(22). Hence, we use the data on polarization at small fields, to obtain the numerical value of the magnetic susceptibility of the chiral condensate.…”

Section: Non-renormalized Quark-meson Model Resultsmentioning

confidence: 99%

“…In [82] it is proved that the role of the condensate (22) to QCD sum rules in external fields is significant, and it cannot be ignored. The quantity χ has been computed by means of special sum rules [82,83,84,85,86], OPE combined with Pion Dominance [87], holography [88,89], instanton vacuum model [90], analytically from the zero mode of the Dirac operator in the background of a SU(2) instanton [91], and on the Lattice in two color quenched simulations at zero and finite temperature [92].…”

Section: Polarization Of the Quark Condensatementioning

confidence: 99%

“…In the literature there are several studies on the PNJL model, see Refs. [10,11,12,13,14,15,15,17,18,19,20,21,22,23,24,25] and references therein.…”

Section: Introductionmentioning

confidence: 99%

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Quark Matter in a Strong Magnetic Background

Gatto

Ruggieri

2013

Strongly Interacting Matter in Magnetic Fields

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In this chapter, we discuss several aspects of the theory of strong interactions in presence of a strong magnetic background. In particular, we summarize our results on the effect of the magnetic background on chiral symmetry restoration and deconfinement at finite temperature. Moreover, we compute the magnetic susceptibility of the chiral condensate and the quark polarization at zero temperature. Our theoretical framework is given by chiral models: the Nambu-Jona-Lasinio (NJL), the Polyakov improved NJL (or PNJL) and the Quark-Meson (QM) models. We also compare our results with the ones obtained by other groups.

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“…(22). Hence, we use the data on polarization at small fields, to obtain the numerical value of the magnetic susceptibility of the chiral condensate.…”

Section: Non-renormalized Quark-meson Model Resultsmentioning

confidence: 99%

Section: Polarization Of the Quark Condensatementioning

confidence: 99%

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Quark Matter in a Strong Magnetic Background

Gatto

Ruggieri

2013

Strongly Interacting Matter in Magnetic Fields

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“…It has often been shown to reproduce many general features of lattice results at µ B = 0 [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, Email address: steinheimer@th.physik.uni-frankfurt.de (J. Steinheimer) 4, 18,19,20,21,22,23,24,25,26,27,28]. In our comparison we will use a very basic parametrization of the two-flavor PNJL model and extend it to incorporate a repulsive vector interaction.…”

Section: The Pnjl Modelmentioning

confidence: 99%

The problem of repulsive quark interactions – Lattice versus mean field models

Steinheimer

Schramm

2011

Physics Letters B

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We calculate the 2nd and 4th order quark number susceptibilities at zero baryochemical potential, using a PNJL approach and an approach which includes, in a single model, quark and hadronic degrees of freedom. We observe that the susceptibilities are very sensitive to possible quark-quark vector interactions. Compared to lattice data our results suggest that above T c any mean field type of repulsive vector interaction can be excluded from model calculations. Below T c our results show only very weak sensitivity on the strength of the quark and hadronic vector interaction. The best description of lattice data around T c is obtained for a case of coexistence of hadronic and quark degrees of freedom .Many recent experimental programs in heavy ion physics, e.g. at the relativistic heavy ion collider and the planned FAIR facility, are aimed at a better understanding of bulk properties of QCD matter. In particular the experimental confirmation of the deconfinement and chiral phase transitions as well as the search for the critical end point (CeP) are of great interest to the community. Lattice results at µ B = 0 suggest that both phase transitions exhibit a smooth crossover. Suffering from the so called sign problem at finite baryo chemical potential, lattice studies have so far not been able to constitute a consistent picture of the phase diagram and the existence of the CeP [1,2]. While a Taylor expansion of lattice results at µ b = 0 predict the existence of a critical end point these results may strongly depend on the order to which the Taylor coefficients can be evaluated [3]. Lattice calculations at imaginary chemical potential on the other hand show no indication for a CeP, though these calculations are done on on a coarse lattice with a fermion action that is known to have large discretization errors. Other studies trying to locate the CeP often rely on the applicability of various effective models where CeP's existence and location seems very sensitive on the vector coupling strength at and below T c [4]. The PNJL modelThe PNJL model was introduced in [5,6] as an effective chiral quasi-quark model that incorporates a mean field like coupling to a color background field. It has often been shown to reproduce many general features of lattice results at µ B = 0 [7,

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“…[14][15][16][17][18][19][20][21][22], and the PNJL model in Refs. [16,[23][24][25][26][27][28][29] Using the QM model, it is a common approximation to omit the quantum and thermal fluctuations of the * Electronic address: andersen@tf.phys.no † Electronic address: rashid.khan@ntnu.no bosonic degrees of freedom, i.e. treating them at tree level.…”

Section: Introductionmentioning

confidence: 99%

Chiral transition in a magnetic field and at finite baryon density

Andersen

Khan

2012

Phys. Rev. D

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We consider the quark-meson model with two quark flavors in a constant external magnetic field B at finite temperature T and finite baryon chemical potential µB. We calculate the full renormalized effective potential to one-loop order in perturbation theory. We study the system in the largeNc limit, where we treat the bosonic modes at tree level. It is shown that the system exhibits dynamical chiral symmetry breaking, i. e. that an arbitrarily weak magnetic field breaks chiral symmetry dynamically, in agreement with earlier calculations using the NJL model. We study the influence on the phase transition of the fermionic vacuum fluctuations. For strong magnetic fields, |qB| ∼ 5m 2 π and in the chiral limit, the transition is first order in the entire µB − T plane if vacuum fluctuations are not included and second order if they are included. At the physical point, the transition is a crossover for µB = 0 with and without vacuum fluctuations.

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Electrical neutrality and pion modes in the two flavor Polyakov–Nambu–Jona-Lasinio model

Cited by 61 publications

References 41 publications

Quark Matter in a Strong Magnetic Background

Quark Matter in a Strong Magnetic Background

The problem of repulsive quark interactions – Lattice versus mean field models

Chiral transition in a magnetic field and at finite baryon density

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