Study of QCD critical point using canonical ensemble method

2009/08/31 by Anyi Li, Andrei Alexandru, Xiangfei Meng +1 · 1 citation
Mathematics · Physics and Astronomy · #Baryon #Baryon number #Canonical ensemble #Critical point (mathematics) #Degenerate energy levels #Fermion #Lattice (music) #Lattice QCD #Lattice field theory #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematics #Particle physics #Phase (matter) #Phase boundary #Phase diagram #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Statistics #Stochastic processes and statistical mechanics #Tricritical point #hep-lat

paper · pdf · doi:10.1016/j.nuclphysa.2009.10.113

published as Nucl.Phys.A830:633c-635c,2009 · 2 pages, 2 figures - To appear in the conference proceedings for Quark Matter 2009, March 30 - April 4, Knoxville, Tennessee

arxiv created 2009/09/29 · openalex publication_date 2009/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The existence of the QCD critical point at non-zero baryon density is not only of great interest for experimental physics but also a challenge for the theory. We use lattice simulations based on the canonical ensemble method to explore the finite baryon density region and look for the critical point. We scan the phase diagram of QCD with three degenerate quark flavors using clover fermions with m_π≈ 700MeV on 6³×4 lattices. We measure the baryon chemical potential as we increase the density and we see the characteristic "S-shape" that signals the first order phase transition. We determine the phase boundary by Maxwell construction and report our preliminary results for the location of critical point.

Citations

• 3-flavour lattice QCD at finite density and temperature: QCD at finite isospin density revisited
• Chiral fermions on the lattice
• QCD sign problem for small chemical potential
• Absence of neutrinos on a lattice
• Finite density QCD with a canonical approach
• Where is the chiral critical point in 3-flavor QCD?
• Transition temperature in QCD
• QCD at zero baryon density and the Polyakov loop paradox
• Hamiltonian formulation of Wilson's lattice gauge theories
• THE CONDENSED MATTER PHYSICS OF QCD
• QCD thermal phase transition in the presence of a small chemical potential
• Chiral fermions from lattice boundaries
• Phase diagram of QCD

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