Critical temperature of chiral symmetry restoration for quark matter with a chiral chemical potential. (25th October 2016)

• Record Type: Journal Article
• Authors: Ruggieri, M; Peng, G X
• Is Part Of: Journal of physics. Volume 43:Number 12(2016:Dec.)
• Publication Date: 2016-10-25
• Subjects: chiral chemical potential -- nonlocal Nambu–Jona–Lasinio model -- chiral phase transition; 12.38.Aw -- 12.38.Mh; Nuclear physics -- Periodicals; Particles (Nuclear physics) -- Periodicals; Physique nucléaire -- Périodiques; Particules (Physique nucléaire) -- Périodiques; Kernfysica; Elementaire deeltjes; 539.7
• DOI: 10.1088/0954-3899/43/12/125101
• Languages: English
• ISSNs: 0954-3899

Abstract

Abstract: In this article we study the restoration of chiral symmetry at a finite temperature for quark matter with a chiral chemical potential, μ 5, by means of a nonlocal Nambu–Jona–Lasinio model. This model allows the introduction of, in the simplest way possible, a Euclidean momentum, p E, dependent quark mass function which decays (neglecting logarithms) as 1 / p E 2 for large p E, in agreement with the asymptotic behaviour expected in quantum chromodynamics in the presence of a nonperturbative quark condensate. We focus on the critical temperature for chiral symmetry restoration in the chiral limit, T c, versus μ 5, as well as on the order of the phase transition. We find that T c increases with μ 5, and that the transition remains of the second order for the whole range of μ 5 considered.