Lattice QCD at Finite Temperature and Density

2005/09/29 by Maria Paola Lombardo, M. P. Lombardo
Physics and Astronomy · #Analytic continuation #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice field theory #Mathematical analysis #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Statistical physics #Taylor series #The Imaginary #Theoretical physics #hep-lat

paper · pdf · doi:10.1142/s0217732307023055

published as Mod.Phys.Lett.A22:457-472,2007 · 15 pages, 1 figure, prepared for "Non-Perturbative Quantum Field Theory: Lattice and Beyond", Guangzhou, China

arxiv created 2005/09/29 · openalex publication_date 2007/03/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 Taylor expansion and 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 normal phase are reviewed.

Citations

• The QCD Equation of State at FiniteT/µ on the Lattice
• QCD at Finite temperature and density with staggered and Wilson quarks
• Thermodynamics at non-zero baryon number density: a comparison of lattice and hadron resonance gas model calculations
• Chiral symmetry restoration and realisation of the Goldstone mechanism in the U(1) Gross-Neveu model at non-zero chemical potential
• Real and imaginary chemical potential in 2-color QCD
• Meron-Cluster Solution of Fermion Sign Problems
• QCD thermal phase transition in the presence of a small chemical potential