Study of lattice QCD at finite baryon density using the canonical approach

V. G. Bornyakov; D. L. Boyda; V. A. Goy; A. V. Molochkov; Atsushi Nakamura; A. A. Nikolaev; V. I. Zakharov

doi:10.1051/epjconf/201713707017

All issues

Volume 137 (2017)

EPJ Web Conf., 137 (2017) 07017

Abstract

Open Access

Issue		EPJ Web Conf. Volume 137, 2017 XII^th Quark Confinement and the Hadron Spectrum


Article Number		07017
Number of page(s)		8
Section		Section D: Deconfinement
DOI		https://doi.org/10.1051/epjconf/201713707017
Published online		22 March 2017

EPJ Web of Conferences 137, 07017 (2017)
https://doi.org/10.1051/epjconf/201713707017

Study of lattice QCD at finite baryon density using the canonical approach

V. G. Bornyakov¹^,2^,3, D. L. Boyda⁴^,2, V. A. Goy⁴^,2, A. V. Molochkov³^,2, Atsushi Nakamura³^,5^,6, A. A. Nikolaev³^,2^a and V. I. Zakharov²^,3^,7

¹ Institute for High Energy Physics NRC “Kurchatov Institute”, 142281 Protvino, Russia
² Institute for Theoretical and Experimental Physics NRC “Kurchatov Institute”, 117218 Moscow, Russia
³ School of Biomedicine, Far Eastern Federal University, 690950 Vladivostok, Russia
⁴ School of Natural Sciences, Far Eastern Federal University, 690950 Vladivostok, Russia
⁵ Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki, Osaka, 567-0047, Japan
⁶ Theoretical Research Division, Nishina Center, RIKEN, Wako 351-0198, Japan
⁷ Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Moscow Region, Russia

^a e-mail: nikolaev.aa@dvfu.ru

Published online: 22 March 2017

Abstract

At finite baryon density lattice QCD first-principle calculations can not be performed due to the sign problem. In order to circumvent this problem, we use the canonical approach, which provides reliable analytical continuation from the imaginary chemical potential region to the real chemical potential region. We briefly present the canonical partition function method, describe our formulation, and show the results, obtained for two temperatures: T/T_c = 0:93 and T/T_c = 0:99 in lattice QCD with two flavors of improved Wilson fermions.

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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