Quark Density in Lattice QC$_2$D 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 $\mu_q$.

Primary author

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

Co-authors

Vitaly Bornyakov (IHEP) Dr Volodymyr Vovchenko (Lawrence Berkeley National Laboratory) Dr Vladimir Goy (Pacific Quantum Center, Far Eastern Federal University, 690950 Vladivostok, Russia) Dr Aleksandr Begun (Pacific Quantum Center, Far Eastern Federal University, 690950 Vladivostok, Russia) Dr Nikolai Gerasimeniuk (Pacific Quantum Center, Far Eastern Federal University, 690950 Vladivostok, Russia) Atsushi Nakamura (Hiroshima Univ)

Presentation materials