Light pseudoscalar mesons in a nonlocal<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>)</mml:mo><mml:mn /></mml:math>chiral quark model

Scarpettini, Alberto F.; Dumm, D. Gómez; Scoccola, N. N.

doi:10.1103/physrevd.69.114018

Cited by 75 publications

(131 citation statements)

References 42 publications

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“…The non-local character of the interactions arises naturally in the context of several successful approaches to low-energy quark dynamics, and leads to a momentum dependence in the quark propagator that can be made consistent [16] with lattice results. It has been shown [17][18][19][20] that non-local models …”

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confidence: 99%

Deconfinement and chiral restoration in non-local PNJL models at zero and imaginary chemical potential

2012

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We study the deconfinement and chiral restoration transitions in the context of non-local PNJL models, considering the impact of the presence of dynamical quarks on the scale parameter appearing in the Polyakov potential. We show that the corresponding critical temperatures are naturally entangled for both zero and imaginary chemical potential, in good agreement with lattice QCD results. We also analyze the Roberge Weiss transition, which is found to be first order at the associated endpoint.PACS numbers: 12.39. Ki, 11.30.Rd, 12.38.Mh The detailed understanding of the behavior of strongly interacting matter at finite temperature and baryon density represents an issue of great interest in particle physics [1]. From the theoretical point of view, this problem can be addressed through lattice QCD calculations [2-4], which have been significantly improved in the last years. However, this ab initio approach is not yet able to provide a full understanding of the QCD phase diagram. One well-known difficulty is given by the so-called sign problem, which arises when dealing with finite real chemical potentials. Thus, it is worth to develop alternative approaches, such as the study of effective models that show consistency with lattice QCD results and can be extrapolated into regions not accessible by lattice techniques.One of these effective theories, proposed quite recently, is the so-called Polyakov-Nambu-JonaLasinio (PNJL) model [5][6][7][8][9][10][11], an extension of the well-known NJL model [12] in which quarks are coupled to the Polyakov loop (PL), providing a common framework to study both the chiral and deconfinement transitions. As a further improvement over the (local) PNJL model, extensions that include covariant non-local quark interactions have also been considered [13][14][15]. The non-local character of the interactions arises naturally in the context of several successful approaches to low-energy quark dynamics, and leads to a momentum dependence in the quark propagator that can be made consistent [16] with lattice results. It has been shown [17][18][19][20] that non-local models

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confidence: 99%

Deconfinement and chiral restoration in non-local PNJL models at zero and imaginary chemical potential

2012

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“…We use the prescription proposed by Cutkosky et al [42] and successfully applied to such models in Refs. [13,16,43]. This amounts to a deformation of the integration contour (as indicated in Fig.…”

Section: Appendix: Numerical Methodsmentioning

confidence: 99%

“…The regulator makes the theory finite to all orders in the loop expansion and leads to small next-to-leading order corrections [15]. This model has been phenomenologically very successful to describe mesons [13,15,16] and baryons [17,18] in vacuum. More applications can be found in Refs.…”

Section: Introductionmentioning

confidence: 99%

The nuclear matter stability in a non-local chiral quark model

Rezaeian

Pirner

2006

Nuclear Physics A

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We study the stability of the nuclear matter in a non-local Nambu-Jona-Lasinio model. We work out the equation of state in a relativistic Faddeev approach where we take into account the internal structure of nucleon. We show that the binding energy saturates when the nucleon as a composite particle made of quarks is incorporated.After truncation of the two-body channels to the scalar and axial-vector diquarks, a relativistic Faddeev equation for nucleon bound states in medium is solved in the covariant diquark-quark picture. We investigate the nucleon properties in the nuclear medium such as the role of diquarks within the nucleon and the in-medium modification of the nucleon mass and size.PACS numbers: 12.39. Ki,12.39.Fe,21.65.+f,24.85.+p Keywords: Non-local Nambu-Jona-Lasinio model, nuclear matter stability, quark-diquark structure of the nucleon, quark matter

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“…For fixed values of the temperature T and the chemical potential µ, the mean field valuesσ and∆, as well as the chemical potentials µ e and µ 8 , can be numerically obtained from the gap equations (13), together with the neutron star constraints (18) and (19). Let us begin by considering the case H/G = 0.75, which is motivated by various effective models of quark-quark interactions.…”

Section: B Order Parameters and Phase Transitionsmentioning

confidence: 99%

“…Indeed, nonlocal interactions regularize the models in such a way that anomalies are preserved [13] and charges properly quantized, the effective interaction is finite to all orders in the loop expansion and there is no need to introduce extra cut-offs, soft regulators lead to small nextto-leading order corrections [14], etc. This type of models has been successfully used to investigate meson [15][16][17][18] and baryon [19] properties at vanishing temperature and chemical potential, and the phase diagram of isospin symmetric matter has also been studied within this context [20][21][22][23]. Now our aim is to extend these analyses to the case in which compact star conditions are imposed.…”

Section: Introductionmentioning

confidence: 99%

Phase diagram of quark matter in nonlocal chiral models under color and electric charge neutrality conditions

Dumm¹,

Grunfeld²,

Scoccola³

2007

Braz. J. Phys.

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We consider the phase diagram of two-flavor quark matter under neutron star constraints for the case of two nonlocal, covariant quark models within the mean field approximation. In one of these models (Model I) the nonlocality arises from the regularization procedure, motivated by the instanton liquid model, whereas in the second one (Model II) a separable approximation of the one-gluon exchange interaction is applied. We find that Model II predicts a larger quark mass gap, and the corresponding critical temperature at µ = 0, T c (0) 140 MeV, is in better agreement with recent lattice QCD results than the prediction of the standard local NJL model, which exceeds 200 MeV. For both models we have considered various coupling strengths in the scalar diquark channel, showing that different low-temperature quark matter phases can occur at intermediate densities: a normal quark matter (NQM) phase, a superconducting quark matter (2SC) phase and a mixed 2SC-NQM phase. In most cases, a narrow gapless 2SC phase region is also obtained at finite temperatures.

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Light pseudoscalar mesons in a nonlocalSU(3)chiral quark model

Cited by 75 publications

References 42 publications

Deconfinement and chiral restoration in non-local PNJL models at zero and imaginary chemical potential

Deconfinement and chiral restoration in non-local PNJL models at zero and imaginary chemical potential

The nuclear matter stability in a non-local chiral quark model

Phase diagram of quark matter in nonlocal chiral models under color and electric charge neutrality conditions

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