Abstract
We study the dynamics of the formation of inhomogeneous chirally broken phases in the final stages of a heavy-ion collision, with particular interest on the time scales involved in the formation process. The study is conducted within the framework of a Ginzburg-Landau time evolution, driven by a free energy functional motivated by the Nambu–Jona-Lasinio model. Expansion of the medium is modeled by one-dimensional Bjorken flow and its effect on the formation of inhomogeneous condensates is investigated. We also use a free energy functional from a nonlocal Nambu–Jona-Lasinio model which predicts metastable phases that lead to long-lived inhomogeneous condensates before reaching an equilibrium phase with homogeneous condensates.
Highlights
The study of the phase diagram of strongly interacting matter as a function of the temperature and baryon chemical potential has been an active field of research since the early days of nuclear physics
We study the dynamics of the formation of inhomogeneous chirally broken phases in the final stages of a heavy-ion collision, with particular interest on the time scales involved in the formation process
We have presented results of a study of the dynamics of the formation of inhomogeneous chirally broken phases
Summary
The study of the phase diagram of strongly interacting matter as a function of the temperature and baryon chemical potential has been an active field of research since the early days of nuclear physics. The asymptotic freedom property of QCD predicts the possibility of creating through high-energy heavy-ion collisions a state of matter resembling the one that presumably existed in the early universe, in that quarks and gluons are no longer confined in the protons and neutrons as in cold nuclear matter [1]. For the high temperature region of the phase diagram, results coming from RHIC-BNL and LHC-CERN suggest that a new state of matter, the quark-gluon plasma (QGP), is formed after the collision event [2]. It is not clear what is the nature of the phase transition between ordinary nuclear matter and the QGP. Our study is conducted within the framework of the phenomenological time-dependent Ginzburg-Landau equation
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