QCD at finite chemical potential with six time slices

Abstract

We investigate the Taylor expansion of the baryon number susceptibility, and hence, pressure, in a series in the baryon chemical potential (${\ensuremath{\mu}}_{B}$) through a lattice simulation with two flavors of light dynamical staggered quarks at a finer lattice cutoff $a=1/6T$. We determine the QCD cross over coupling at ${\ensuremath{\mu}}_{B}=0$. We find the radius of convergence of the series at various temperatures, and bound the location of the QCD critical point to be ${T}^{E}/{T}_{c}\ensuremath{\approx}0.94$ and ${\ensuremath{\mu}}_{B}^{E}/T<1.8$. We also investigate the extrapolation of various susceptibilities and linkages to finite chemical potential.