D. L. Boyda, V. G. Bornyakov, V. A. Goy, V. I. Zakharov, A. V. Molochkov, A. Nakamura, A. A. Nikolaev, “Novel approach to deriving the canonical generating functional in lattice QCD at a finite chemical potential”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2016, Volume 104, Issue 10,Pages <nobr>673

This article is cited in 9 papers

FIELDS, PARTICLES, AND NUCLEI

Novel approach to deriving the canonical generating functional in lattice QCD at a finite chemical potential

D. L. Boyda^abc, V. G. Bornyakov^bd, V. A. Goy^abc, V. I. Zakharov^cb, A. V. Molochkov^cb, A. Nakamura^b, A. A. Nikolaev^bc

^a School of Natural Sciences, Far Eastern Federal University, Vladivostok, Russia
^b School of Biomedicine, Far Eastern Federal University, Vladivostok, Russia
^c Institute of Theoretical and Experimental Physics, National Research Center Kurchatov Institute, Moscow, Russia
^d Institute for High Energy Physics, National Research Center Kurchatov Institute, Protvino, Moscow region, Russia

Abstract: A novel approach to the problem of deriving the generating functional for the canonical ensemble in lattice QCD at a nonzero chemical potential is proposed. The derivation proceeds in several steps. First, the baryon density for imaginary values of the chemical potential is obtained. Then, again for imaginary values of the chemical potential, the generating functional of the grand canonical ensemble is derived. In this analysis, a fit of baryon density is employed toward simplifying the procedure of numerical integration. Finally, the generating potential for the canonical ensemble is derived using a high-precision numerical Fourier transform. The generating functional for the canonical ensemble is also derived using the known hopping-parameter expansion, and the results obtained with the two methods are compared for the deconfinement phase in the lattice QCD with two flavors.

Received: 06.10.2016

DOI: 10.7868/S0370274X1622001X