Medium induced Lorentz symmetry breaking effects in nonlocal Polyakov–Nambu–Jona-Lasinio models

Benić, Sanjin and Blaschke, David and Contrera, Gustavo and Horvatić, Davor (2014) Medium induced Lorentz symmetry breaking effects in nonlocal Polyakov–Nambu–Jona-Lasinio models. Physical Review D, 89 (1). pp. 16007-19. ISSN 1550-7998

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Abstract

In this paper, we detail the thermodynamics of two-flavor nonlocal Polyakov–Nambu–Jona-Lasinio models for different parametrizations of the quark interaction regulators. The structure of the model is upgraded in order to allow for terms in the quark self-energy that violate Lorentz invariance due to the presence of the medium. We examine the critical properties, the phase diagram, and the equation of state. Furthermore, some aspects of the Mott effect for pions and sigma mesons are discussed explicitly within a nonlocal Polyakov–Nambu–Jona-Lasinio model. In particular, we continued the meson polarization function in the complex energy plane. Under certain approximations we were able to extract the imaginary part as a function of the meson energy. We were not able to calculate the dynamical meson mass and therefore resorted to a technical study of the temperature dependence of the meson width by replacing the meson energy with the temperature-dependent spatial meson mass. Our results show that, while the temperature behavior of the meson widths is qualitatively the same for a wide class of covariant regulators, the special case in which the nonlocal interactions are introduced via the instanton liquid model singles out with a drastically different behavior.

Item Type: Article
Keywords: Chiral symmetry, Nambu--Jona-Lasinio, Polyakov loop, confinement, Mott dissociation
Date: January 2014
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (2014) by the American Physical Society.
Divisions: Faculty of Science > Department of Physics
Project code: 119-0982930-1016
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 25 Aug 2014 16:00
Last Modified: 25 Aug 2014 16:00
URI: http://digre.pmf.unizg.hr/id/eprint/2392

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