Thermodynamic Geometry and Deconfinement Temperature

Abstract

The application of Riemannian geometry to the analysis of the equilibrium thermodynamics in Quantum Chromodynamics (QCD) at finite temperature and baryon density gives a new method to evaluate the critical temperature, $T_c$, of the deconfinement transition. In the confined phase, described by the thermodynamic geometry of the Hadron Resonance Gas, the estimate of $T_c$ turns out completely consistent with lattice QCD simulations of the quark-gluon plasma phase if the hadron excluded volume and the interaction effects are taken into account.

References in corpus (13)

• Bulk Properties of the Medium Produced in Relativistic Heavy-Ion Collisions from the Beam Energy Scan Program
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• van der Waals Interactions in Hadron Resonance Gas: From Nuclear Matter to Lattice QCD
• Hadron yields and the phase diagram of strongly interacting matter
• Thermodynamic Geometry, Phase Transitions, and the Widom Line
• The QCD crossover at zero and non-zero baryon densities from Lattice QCD
• Particle Number Fluctuations for van der Waals Equation of State
• Equations of state for real gases on the nuclear scale
• New scenarios for hard-core interactions in a hadron resonance gas
• Geometry of criticality, supercriticality and Hawking-Page transitions in Gauss-Bonnet-AdS black holes
• Identified particle production and freeze-out properties in heavy-ion collisions at RHIC Beam Energy Scan program
• Solid-like features in dense vapors near the fluid critical point
• Thermodynamic Geometry of Strongly Interacting Matter

Cited by in corpus (4)

• Fluctuations and thermodynamic geometry of the chiral phase transition
• Thermodynamic Geometry of the Quark-Meson Model
• Thermodynamic Geometry of Nambu -- Jona Lasinio model
• Stability of Schwarzschild (Anti)de Sitter black holes in Conformal Gravity