Abstract
We study the dynamics of inhomogeneous scalar and pseudoscalar chiral order parameters within the framework of the time-dependent Ginzburg-Landau equations. We utilize a nonlocal chiral quark model to obtain the phase diagram of the model as function of temperature and baryon chemical potential and study the formation of metastable spatial domains of matter where the order parameters acquire a spatial modulation in the course their dynamical evolution. We found that, before reaching the expected equilibrium homogeneous state, both scalar and pseudoscalar chiral condensates go through long-lived metastable inhomogeneous structures. For different initial configurations of the order parameters, the lifetimes of the inhomogeneous structures are compared to timescales in a relativistic heavy-ion collision.
Highlights
The phase diagram of strongly interacting matter at finite temperature (T) and baryon chemical potential (μ) has been extensively studied in recent decades
We study the dynamics of inhomogeneous scalar and pseudoscalar chiral order parameters within the framework of the time-dependent Ginzburg-Landau equations
We utilize a nonlocal chiral quark model to obtain the phase diagram of the model as a function of temperature and baryon chemical potential and study the formation of metastable spatial domains of matter where the order parameters acquire a spatial modulation in the course of their dynamical evolution
Summary
The phase diagram of strongly interacting matter at finite temperature (T) and baryon chemical potential (μ) has been extensively studied in recent decades. The nonlocal fourfermion interaction is an effective description of gluon degrees of freedom, and it leads to a momentum dependence for the quark mass function in the quark propagator that is consistent with lattice QCD results [53] In this framework, once the few free parameters of the model are fixed by fitting, e.g., the vacuum quark condensate and the pion mass and electroweak decay constant, a reasonable description of the properties of light mesons and the phenomenology of the QCD phase diagram are obtained [54,55,56,57,58,59,60,61].
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