The QCD equation of state under extreme conditions / Ruben Nadir Kara. [Wuppertal], Juli 2024
Content
- 1 Introduction
- 2 Quantum chromodynamics
- 2.1 Strong force
- 2.2 Thermal features of QCD
- 2.3 Center symmetry
- 2.4 Chiral symmetry
- 2.5 Phase diagram in the mass plane
- 2.6 Phase diagram in T-B plane
- 3 Methods
- 3.1 Finite temperature field theory
- 3.2 Lattice QCD
- 3.3 Chemical potential
- 3.3.1 Higher order cumulants
- 3.3.2 Isospin symmetry and strangeness neutrality
- 3.3.3 Complex action problem
- 3.4 Monte Carlo methods
- 4 Upper right corner of the Columbia plot
- 4.1 Quenched QCD at finite temperature
- 4.1.1 Observables
- 4.1.2 Parallel tempering to improve on supercritical slowing down
- 4.1.3 Transition temperature
- 4.1.4 Volume scaling and identifying the order of phase transition
- 4.1.5 Latent heat
- 4.2 Topological features of the deconfinement transition
- 4.2.1 The topological charge on the lattice
- 4.2.2 The continuum extrapolated susceptibility in the transition region
- 4.2.3 The discontinuity of the topological susceptibility
- 4.2.4 The -dependence of the transition temperature
- 4.3 The critical quark mass in the heavy mass region
- 5 Lattice QCD EoS at finite density
- 5.1 The EoS from an alternative expansion scheme
- 5.1.1 Formalism
- 5.1.2 Simulation details
- 5.1.3 The coefficients 2ij and 4ij
- 5.1.4 Continuum result of B2(T) and its temperature derivative
- 5.1.5 Thermodynamics at real chemical potential
- 5.2 Strangeness neutrality and beyond
- 6 Finite volume effects of the QCD crossover at finite density
- 6.1 Simulation details
- 6.2 Chiral observables
- 6.3 Deconfinement observables
- 6.4 Vanishing chemical potential
- 6.4.1 Chiral condensate
- 6.4.2 The transition temperature Tc defined by full
- 6.4.3 Crossover temperatures defined by different observables
- 6.5 Imaginary chemical potential
- 6.6 Phase diagram at finite and real density
- 6.7 Strength of the crossover at finite density
- 7 Outlook
- Bibliography