Vector Meson Spectral Function and Dilepton Rate in an Effective Mean Field Model

Islam, Chowdhury Aminul; Majumder, Sarbani; Haque, Najmul; Mustafa, Munshi G.

doi:10.1007/978-3-319-25619-1_5

Cited by 2 publications

(12 citation statements)

References 12 publications

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“…The chiral matrix model can be considered as a generalization of Polyakov loop models, as first proposed by Fukushima [34][35][36][37][38][39][40]; see also [41]. In a Polyakov loop model, the gauge fields are integrated out to obtain an effective model of the Polyakov loop and hadrons.…”

Section: Introductionmentioning

confidence: 99%

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Chiral matrix model of the semi-QGP in QCD

Pisarski¹,

Skokov²

2016

Phys. Rev. D

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Previously, a matrix model of the region near the transition temperature, in the "semi"-Quark Gluon Plasma, was developed for the theory of SU (3) gluons without quarks. In this paper we develop a a chiral matrix model applicable to QCD by including dynamical quarks with 2 + 1 flavors. This requires adding a nonet of scalar fields, with both parities, and coupling these to quarks through a Yukawa coupling, y. Treating the scalar fields in mean field approximation, the effective Lagrangian is computed by integrating out quarks to one loop order. As is standard, the potential for the scalar fields is chosen to be symmetric under the flavor symmetry of SU (3) L × SU (3) R × Z(3) A , except for a term linear in the current quark mass, m qk . In addition, at a nonzero temperature T it is necessary to add a new term, ∼ m qk T 2 . The parameters of the gluon part of the matrix model are identical to that for the pure glue theory without quarks. The parameters in the chiral matrix model are fixed by the values, at zero temperature, of the pion decay constant and the masses of the pions, kaons, η, and η . The temperature for the chiral crossover at T χ = 155 MeV is determined by adjusting the Yukawa coupling y. We find reasonable agreement with the results of numerical simulations on the lattice for the pressure and related quantities. In the chiral limit, besides the divergence in the chiral susceptibility there is also a milder divergence in the susceptibility between the Polyakov loop and the chiral order parameter, with critical exponent β − 1. We compute derivatives with respect to a quark chemical potential to determine the susceptibilities for baryon number, the χ 2n . Especially sensitive tests are provided by χ 4 − χ 2 and by χ 6 , which changes in sign about T χ . The behavior of the susceptibilities in the chiral matrix model strongly suggests that as the temperature increases from T χ , that the transition to deconfinement is significantly quicker than indicated by the measurements of the (renormalized) Polyakov loop on the lattice. * pisarski@bnl.gov † vskokov@bnl.gov 2

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Section: Introductionmentioning

confidence: 99%

“…Because of this, except for one special case (dilepton production at leading order [38]), Polyakov loop models can only be used to study processes in, and not near, equilibrium. In a matrix model, though, as A 0 , is not integrated out it is straightforward to compute processes neat equilibrium by analytic continuation.…”

Section: Introductionmentioning

confidence: 99%

Chiral matrix model of the semi-QGP in QCD

Pisarski¹,

Skokov²

2016

Phys. Rev. D

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“…III we write the expression for the vector spectral function and its various spectral properties following our earlier calculation in Ref. [24]. In sec IV we discuss our results and finally we conclude in sec.…”

Section: Introductionmentioning

confidence: 81%

“…The properties of the vector current correlation function and its spectral representation in the deconfined phase have been studied to understand the nonperturbative effect on the vector current spectral properties, e.g., the dilepton production rate in lattice QCD (LQCD) framework [23]. Recently, in PNJL model that takes into account nonperturbative effects like chiral and confinement dynamics, we have analysed [24] the effect of isoscalar-vector interaction on the vector meson spectral function and its various spectral properties (viz., dilepton production rate 1 and the quark number susceptibility (QNS) associated with the conserved density fluctuation) in a hot and dense medium. In present article, we consider the idea of the EPNJL model in which the effective vertex generates a strong entanglement interaction between the chiral condensate σ and the Polyakov loop Φ to re-explore the vector spectral function and the spectral property such as the dilepton production rate previously studied in [24].…”

Section: Introductionmentioning

confidence: 99%

“…Recently, in PNJL model that takes into account nonperturbative effects like chiral and confinement dynamics, we have analysed [24] the effect of isoscalar-vector interaction on the vector meson spectral function and its various spectral properties (viz., dilepton production rate 1 and the quark number susceptibility (QNS) associated with the conserved density fluctuation) in a hot and dense medium. In present article, we consider the idea of the EPNJL model in which the effective vertex generates a strong entanglement interaction between the chiral condensate σ and the Polyakov loop Φ to re-explore the vector spectral function and the spectral property such as the dilepton production rate previously studied in [24]. Because of this strong entanglement between Φ and σ, the coupling strengths run with the temperature and chemical potential.…”

Section: Introductionmentioning

confidence: 99%

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Vector meson spectral function and dilepton rate in the presence of strong entanglement effect between the chiral and the Polyakov loop dynamics

2015

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In this work we have re-explored our earlier study on the vector meson spectral function and its spectral property in the form of dilepton rate in a two-flavour Polyakov loop extended Nambu-JonaLasinio (PNJL) model in presence of a strong entanglement between the chiral and Polyakov loop dynamics. The entanglement considered here is generated through the four-quark scalar type interaction in which the coupling strength depends on the Polyakov loop and runs with temperature and chemical potential. The entanglement effect is also considered for the four-quark vector type interaction in the same manner. We observe that the entanglement effect relatively enhances the color degrees of freedom due to the running of the both scalar and vector couplings. This modifies the vector meson spectral function and thus the spectral property such as the dilepton production rate in low invariant mass also gets modified.

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Vector Meson Spectral Function and Dilepton Rate in an Effective Mean Field Model

Cited by 2 publications

References 12 publications

Chiral matrix model of the semi-QGP in QCD

Chiral matrix model of the semi-QGP in QCD

Vector meson spectral function and dilepton rate in the presence of strong entanglement effect between the chiral and the Polyakov loop dynamics

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