Abstract

This report summarizes the presentations and discussions during the Rapid Reaction Task Force “Dynamics of critical fluctuations: Theory – phenomenology – heavy-ion collisions”, which was organized by the ExtreMe Matter Institute EMMI and held at GSI, Darmstadt, Germany in April 2019. We address the current understanding of the dynamics of critical fluctuations in QCD and their measurement in heavy-ion collision experiments. In addition, we outline what might be learned from studying correlations in other physical systems, such as cold atomic gases.

Highlights

  • Ultra-relativistic heavy-ion collisions create small droplets of deconfined QCD matter – the Quark Gluon Plasma (QGP)

  • As an example result of QCD assisted transport we show in Fig. 3 the timeevolution of the kurtosis scaled by its late-time equilibrium limit for the quench from high temperatures to two different points in the QCD phase diagram

  • While factors of volume appear in the relations between cumulants and susceptibilities listed above, the “volume” of the medium produced in a heavy-ion collision is not a very well defined quantity, it is related to the number of nucleons that participate in the collision and their geometrical orientation and to the collision centrality

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Summary

Introduction

Ultra-relativistic heavy-ion collisions create small droplets of deconfined QCD matter – the Quark Gluon Plasma (QGP). In heavy-ion collisions the volume that is locally equilibrated is quite small, and fluctuations due to the finite size of the system are sizeable These fluctuations are controlled by susceptibilities and related to the equation of state of the system. The relative size of different sources of fluctuations depends on the evolution of the system, and a careful modeling of fluctuations in relativistic heavy-ion collisions requires a framework for the dynamical evolution:. This report provides a summary of the discussions and presentations at the Rapid Reaction Task Force (RRTF) “Dynamics of critical fluctuations: Theory – phenomenology – heavy-ion collisions” organized by the ExtreMe Matter Institute EMMI It describes ideas in an active and ongoing research effort, and the discussions at the workshop represented many different points of view. Additional details regarding a number of dynamical approaches are provided in an Appendix

Theory of dynamical fluctuations
Implementation of stochastic fluid dynamics
Implementation of deterministic hydro-kinetics
Implementation of stochastic diffusion
Relevant scales for transits of the critical point
Implementation of fluid to particle conversion
Experimental challenges
Matching between experimental observables and theoretical quantities
Isospin and strangeness randomisation across collision energies
Volume fluctuations
The rapidity window dependence
Influence of resonance decays on fluctuation observables
Overview of the current experimental techniques
Third and fourth cumulants of net-proton distributions
Fluctuation measurements in STAR
Fluctuation measurements in HADES
Fluctuations in atomic gases and other related systems
Equilibrium fluctuations and correlations
Fluctuations and transport phenomena in critical systems
Dynamical evolution in critical systems
Other physical systems
Summary and outlook
Effective kinetic theory of hydrodynamic fluctuations
Stochastic diffusion of critical net-baryon density fluctuations
QCD assisted transport
Findings
Modeling of time correlations with hydrodynamic fluctuations
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