Lattice QCD at Finite Temperature and Density

Abstract

A general introduction into the subject aimed at a general theoretical physics audience. We introduce the sign problem posed by finite density lattice QCD, and we discuss the main methods proposed to circumvent it, with emphasis on the imaginary chemical potential approach. The interrelation between the Taylor expansion and the analytic continuation from imaginary chemical potential is discussed in detail. The main applications to the calculation of the critical line, and to the thermodynamics of the hot and the hadronic phase are reviewed.

15 pages, 1 figure, prepared for "Non-Perturbative Quantum Field Theory: Lattice and Beyond", Guangzhou, China

References in corpus (6)

• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• QCD thermodynamics from an imaginary mu_B: results on the four flavor lattice model
• Phase diagram of QCD at finite temperature and chemical potential from lattice simulations with dynamical Wilson quarks
• Properties of hadron screening masses at small baryonic density
• The QCD phase diagram at nonzero baryon, isospin and strangeness chemical potentials: Results from a hadron resonance gas model
• QCD at Finite temperature and density with staggered and Wilson quarks

Cited by in corpus (8)

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• Thirring model at finite density in 2+1 dimensions with stochastic quantization
• Simple QED- and QCD-like Models at Finite Density
• Complex Langevin approach to interacting Bose gases
• Hadron resonance gas EoS and the fluidity of matter produced in HIC
• Toward large-scale Hybrid Monte Carlo simulations of the Hubbard model on graphics processing units
• Simulating the Berezinskii-Kosterlitz-Thouless Transition with Complex Langevin
• On the solution of Euclidean path integrals with neural networks