The 38th International Symposium on Lattice Field Theory

Quark Density in Lattice QC2D at Imaginary and Real Chemical Potential

27 Jul 2021, 13:00

15m

Oral presentation QCD at nonzero Temperature and Density QCD at nonzero Temperature and Density

Speaker

Roman Rogalev (Institute for High Energy Physics of NRC Kurchatov Institute (R)

Description

Two-color QCD (QC${}_2$D) with two flavors of staggered fermions is studied at imaginary and real quark chemical potential ${\mu }_q$ and $T>T_c$. Various methods of analytic continuation of the quark number density from imaginary to real quark chemical potentials ${\mu }_q$ are considered on the basis of the numerical results for imaginary ${\mu }_q$. At $T<T_{RW}$ we find that the cluster expansion model provides rather good analytic continuation. Its relation to the canonical formalism is discussed. At $T>T_{RW}$ we see that the analytic continuation to the real values of ${\mu }_q$ based on trigonometric functions works equally well with the conventional method based on the Taylor expansion in powers of ${\mu }_q$.

Presentation materials

73_T3Th_Roman_Rogalev

rogalyov.pdf