Critical line from imaginary to real baryonic chemical potentials in two-color QCD

2007/12/31 by Paolo Cea, Leonardo Cosmai, Massimo D’Elia +2
Mathematics · Physics and Astronomy · #Analytic continuation #Baryon #Condensed matter physics #Critical line #Geometry #High-Energy Particle Collisions Research #Imaginary time #Line (geometry) #Mathematical analysis #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Sign (mathematics) #The Imaginary #Theoretical physics #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.77.051501

published as Phys.Rev.D77:051501,2008 · Replaced with the version accepted for publication as a Rapid Communication in Physical Review D1

arxiv created 2008/01/31 · openalex publication_date 2008/03/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The method of analytic continuation from imaginary to real chemical potentials \ensuremathμ is one of the few available techniques to study QCD at finite temperature and baryon density. One of its most appealing applications is the determination of the critical line for small \ensuremathμ: we perform a direct test of the validity of the method in this case by studying two-color QCD, where the sign problem is absent. The (pseudo)critical line is found to be analytic around \ensuremathμ²=0, but a very large precision would be needed at imaginary \ensuremathμ to correctly predict the location of the critical line at real \ensuremathμ.

Citations

• Phase diagram of QCD with four quark flavors at finite temperature and baryon density
• Pressure and nonlinear susceptibilities in QCD at finite chemical potentials
• Imaginary chemical potentials and the phase of the fermionic determinant
• Real and imaginary chemical potential in 2-color QCD