Evolutionary intermittency and the QCD critical point

Abstract

We investigate the dynamics of the critical isoscalar condensate, formed during heavy-ion collisions. Our analysis is based on a simplified model where the sigma and the pions are the only degrees of freedom. In field description, both in physical and momentum space, we find that the freeze-out profile presents a structure which reveals clear traces of the critical fluctuations in the sigma-component. In particle representation, using Monte-Carlo simulations and factorial moment analysis, we show that signatures of the initial criticality survive at the detected pions. We propose the distribution of suitably defined intermittency indices, incorporating dynamical effects due to sigma-pion interaction, as the basic observable for the exploration of critical fluctuations in heavy-ion collision experiments.

22 pages, 8 figures, version published at Phys. Rev. C

References in corpus (24)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Event-by-Event Fluctuations in Heavy Ion Collisions and the QCD Critical Point
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
• Static and Dynamic Critical Phenomena at a Second Order QCD Phase Transition
• Scaling laws for density correlations and fluctuations in multiparticle dynamics
• Universality, the QCD critical/tricritical point and the quark number susceptibility
• The critical end point of QCD
• Optimized Perturbation Theory at Finite Temperature
• A Precursor of Chiral Symmetry Restoration in the Nuclear Medium
• How to Make Large Domains of Disoriented Chiral Condensate
• Critical Opalescence in Baryonic QCD Matter
• Schwinger-Dyson approach to non-equilibrium classical field theory
• Initial Vortex Densities after a Temperature Quench
• Pion production from a critical QCD phase
• Bootstraping the QCD Critical Point
• Critical QCD in Nuclear Collisions
• Fractals at T=Tc due to instanton-like configurations
• The Fractal Geometry of Critical Systems
• The Critical Endpoint of Bootstrap and Lattice QCD Matter
• Evolution of Critical Correlations at the QCD Phase Transition
• An efficient algorithm simulating a macroscopic system at the critical point
• Classical evolution of fractal measures on the lattice

Cited by in corpus (9)

• Dynamical evolution of critical fluctuations and its observation in heavy ion collisions
• Phase Space and Dynamical Fluctuations of Kaon--to--Pion Ratios
• Critical versus spurious fluctuations in the search for the QCD critical point
• Multiplicity fluctuations near the QCD critical point
• Ising-QCD phenomenology close to the critical point
• Correlation Integral vs. second order Factorial Moments and an efficient computational technique
• Classical evolution of fractal measures generated by a scalar field on the lattice
• Identifying weak critical fluctuations of intermittency in heavy-ion collisions with topological machine learning
• Critical dynamics near QCD critical point