Analyticity and the phase diagram of QCD

Abstract

Some consequences of the analyticity of the free energy (pressure) of QCD at finite chemical potential are deduced. These include a method for numerical exploration of the full phase diagram by a novel use of simulations at imaginary chemical potential to extract Yang-Lee zeroes of the grand-canonical partition function. We make use of, and comment on, CPT symmetries, positivity of non-linear susceptibilities and the finiteness of screening lengths. We also comment on the structure of zeroes expected for the usual picture of the phases of QCD, following a discussion of the physics of imaginary chemical potential.

arXiv comment15 pages, 2 figures. Extended discussion of some points

References in corpus (24)

• The QCD phase diagram for small densities from imaginary chemical potential
• Quantum Monte Carlo Calculations of Light Nuclei
• Lattice determination of the critical point of QCD at finite T and μ
• The QCD thermal phase transition in the presence of a small chemical potential
• Finite density QCD via imaginary chemical potential
• Color superconducting quark matter
• Imaginary chemical potential and finite fermion density on the lattice
• The Spatial String Tension in the Deconfined Phase of the (3+1)-Dimensional SU(2) Gauge Theory
• Non-perturbative Debye mass in finite T QCD
• Nonabelian Debye Screening in One-Loop Resummed Perturbation Theory
• The factorization method for systems with a complex action -a test in Random Matrix Theory for finite density QCD-
• Solution of the Complex Action Problem in the Potts Model for Dense QCD
• Dimensional Reduction and Screening Masses in Pure Gauge Theories at Finite Temperature
• Valence quarks in the QCD plasma: quark number susceptibilities and screening
• Partition function for the eigenvalues of the Wilson line
• Does the QCD plasma contain propagating gluons?
• QED With Unequal Charges: A study of spontaneous Zn symmetry breaking
• Hot Gauge Theories and $Z_N$ Phases
• Phase of the Wilson Line at High Temperature in the Standard Model
• Z_N Phases in Hot Gauge Theories
• First order phase transitions of spin systems
• Phase of the Wilson Line
• Finite-Size Scaling at Phase Coexistence
• Composite reweighting with Imaginary Chemical Potentials in SU(3)

Cited by in corpus (4)

• Phenomenological Review on Quark-Gluon Plasma: Concepts vs. Observations
• Simple patterns for non-linear susceptibilities near T_c
• Real and imaginary chemical potential in 2-color QCD
• QCD in One Dimension at Nonzero Chemical Potential