Abstract

Heavy-ion collisions at relativistic energies probe matter at extreme conditions of temperatures and energy densities. The study of event-by-event fluctuations of experimental observables is crucial to probe the QCD phase transition, locate the critical point, and learn about the associated critical phenomena. At the critical point, all thermodynamic quantities behave anomalously. Fluctuation measurements provide access to thermodynamic response functions. We discuss the methods for obtaining the isothermal compressibility using particle multiplicity fluctuation, and specific heat using fluctuations in mean transverse momentum, temperature, and energy. Lattice QCD calculations have predicted non-monotonic behavior in the higher-order cumulants of conserved quantities at the critical point. Fluctuations in the multiplicity of charged to neutral particles have been measured to understand the formation of domains of disoriented chiral condensates. We review the recent fluctuation results as a function of collision centrality and energy from experiments at SPS, RHIC, and LHC. In addition, we propose to map the temperature fluctuations in η-φ plane to probe local fluctuations of temperature and energy density.

Highlights

  • According to the theory of Quantum Chromo Dynamics (QCD), under extreme conditions of temperatures and energy densities, normal hadronic matter goes through a phase transition to a system of deconfined quarks and gluons, the quark-gluon plasma (QGP)

  • Theoretical and experimental studies explore the rich landscape of the QCD phase diagram to understand the nature of the phase transition, locate the critical point, and to learn about the properties of the matter formed

  • The experimental program to study the QCD phase structure started more than three decades ago at Bevelac, Berkeley and since has covered four generations of experiments at the Brookhaven National Laboratory (BNL) and CERN

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Summary

Introduction

According to the theory of Quantum Chromo Dynamics (QCD), under extreme conditions of temperatures and energy densities, normal hadronic matter goes through a phase transition to a system of deconfined quarks and gluons, the quark-gluon plasma (QGP). Event-by-event fluctuations in a number of observables have been predicted as signatures of the QCD phase transition and the critical point [9, 10, 11]. The nature of phase transitions in a system can be understood by the measurement of thermodynamic response functions These quantities can be accessed experimentally by the fluctuation of measured quantities. While the ensemble average thermodynamic properties like the temperature and volume can be extracted from the mean hadron yields, kT can be accessed through the measurements of the event-by-event multiplicity fluctuations. For a system in thermal equilibrium to a bath at kT (fm3/GeV)

HM via QGM
Hadron Gas
10. References

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