Lattice QCD at finite temperature and density

Abstract

QCD at finite temperature and density is becoming increasingly important for various experimental programmes, ranging from heavy ion physics to astro-particle physics. The non-perturbative nature of non-abelian quantum field theories at finite temperature leaves lattice QCD as the only tool by which we may hope to come to reliable predictions from first principles. This requires careful extrapolations to the thermodynamic, chiral and continuum limits in order to eliminate systematic effects introduced by the discretization procedure. After an introduction to lattice QCD at finite temperature and density, its possibilities and current systematic limitations, a review of present numerical results is given. In particular, plasma properties such as the equation of state, screening masses, static quark free energies and spectral functions are discussed, as well as the critical temperature and the QCD phase structure at zero and finite density.

32 pages, typos corrected, reference added. Lectures given at 45. Internationale Universitatswochen fur Theoretische Physik: (Schladming Winter School on Theoretical Physics): Conceptual and Numerical Challenges in Femto-Scale and Peta-Scale Physics, Schladming, Styria, Austria, 24 Feb - 3 Mar 2007

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Cited by in corpus (37)

• The QCD phase structure at finite temperature and density
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• The phase structure of the Polyakov--quark-meson model beyond mean field
• Thermodynamics of (2+1)-flavor QCD: Confronting Models with Lattice Studies
• The three-flavor chiral phase structure in hot and dense QCD matter
• QCD phase structure from functional methods
• On the phase structure and thermodynamics of QCD
• Higher order quark-mesonic scattering processes and the phase structure of QCD
• Phase diagram and critical properties within an effective model of QCD: the Nambu-Jona-Lasinio model coupled to the Polyakov loop
• Hamiltonian simulation of the Schwinger model at finite temperature
• Fluctuations and the axial anomaly with three quark flavors
• Fierz-complete NJL model study III: Emergence from quark-gluon dynamics
• How parameters and regularization affect the PNJL model phase diagram and thermodynamic quantities
• Critical exponents of finite temperature chiral phase transition in soft-wall AdS/QCD models
• On the efficient computation of high-order derivatives for implicitly defined functions
• Quantum Simulation of Chiral Phase Transitions
• Spontaneous P-violation in QCD in extreme conditions
• Quark number susceptibility around the critical end point
• The deconfinement transition of finite density QCD with heavy quarks from strong coupling series
• Strong coupling expansion for finite temperature Yang-Mills theory in the confined phase
• Primitive Quantum Gates for an SU(3) Discrete Subgroup: $\Sigma (36\times 3)$
• Phase structure of thermal lattice QCD with N_f=2 twisted mass Wilson fermions
• SU(3) Polyakov Linear-Sigma Model With Finite Isospin Asymmetry: QCD Phase Diagram
• On the sign problem in dense QCD
• Fuzzy gauge theory for quantum computers
• The Friedberg-Lee model at finite temperature and density
• Effects of the Regularization on the Restoration of Chiral and Axial Symmetries
• A model study of the chiral phase diagram of QCD
• Towards the chiral critical surface of QCD
• Towards extremely dense matter on the lattice
• Color superconductivity in the Nambu Jona-Lasinio model complemented by a Polyakov loop
• Twisted mass QCD at finite temperature
• Sign optimization and complex saddle points in one-dimensional QCD
• Lattice simulation of a center symmetric three-dimensional effective theory for SU(2) Yang-Mills
• Photons from relativistic nuclear collisions
• Towards a determination of the chiral critical surface of QCD
• Baryons in the Nambu Jona-Lasinio models