Scale for the Phase Diagram of Quantum Chromodynamics

Abstract

Matter described by Quantum Chromodynamics (QCD), the theory of strong interactions, may undergo phase transitions when its temperature and the chemical potentials are varied. QCD at finite temperature is studied in the laboratory by colliding heavy-ions at varying beam energies. We present a test of QCD in the non-perturbative domain through a comparison of thermodynamic fluctuations predicted in lattice computations with the experimental data of baryon number distributions in high-energy heavy-ion collisions. This study provides evidence for thermalization in these collisions, and allows us to find the crossover temperature between normal nuclear matter and a deconfined phase called the quark gluon plasma. This value allows us to set a scale for the phase diagram of QCD.

16 pages and 4 figures. Accepted for publication in Science

References in corpus (23)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• The PHOBOS Perspective on Discoveries at RHIC
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Systematic Measurements of Identified Particle Spectra in pp, d+Au and Au+Au Collisions from STAR
• The QCD transition temperature: results with physical masses in the continuum limit
• Event-by-Event Fluctuations in Heavy Ion Collisions and the QCD Critical Point
• Fluctuation Probes of Quark Deconfinement
• Charged Particle Ratio Fluctuation as a Signal for QGP
• The transition temperature in QCD
• Higher Moments of Net-proton Multiplicity Distributions at RHIC
• Unified Description of Freeze-Out Parameters in Relativistic Heavy Ion Collisions
• Slowing Out of Equilibrium Near the QCD Critical Point
• Probing freeze-out conditions in heavy ion collisions with moments of charge fluctuations
• Identified particle production, azimuthal anisotropy, and interferometry measurements in Au+Au collisions at $\sqrt{s_{NN}}$ = 9.2 GeV
• Pressure and non-linear susceptibilities in QCD at finite chemical potentials
• Lattice QCD predictions for shapes of event distributions along the freezeout curve in heavy-ion collisions
• QCD Phase Diagram: Phase Transition, Critical Point and Fluctuations
• Primordial Magnetic Field Amplification from Turbulent Reheating
• Universal critical behavior and the transition temperature in (2+1)-flavor QCD
• Uniform Memory and Serialization for Lambda Calculus

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