Lattice Study of QCD Phase Structure by Canonical Approach

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

doi:10.1051/epjconf/201817507033

Proceedings

Open Access

EPJ Web of Conferences 175, 07033 (2018)
https://doi.org/10.1051/epjconf/201817507033

Lattice Study of QCD Phase Structure by Canonical Approach

V.G. Bornyakov¹^,2, D. Boyda¹^,3^*, V. Goy¹, A. Molochkov¹, A. Nakamura¹^,5^,6, A. Nikolaev¹ and V.I. Zakharov¹^,4^,7

¹ School of Biomedicine, Far Eastern Federal University, Sukhanova 8, 690950 Vladivostok, Russia
² Institute for High Energy Physics NRC Kurchatov Institute, 142281 Protvino, Russia
³ School of Natural Sciences, Far Eastern Federal University, Sukhanova 8, 690950 Vladivostok, Russia
⁴ Institute of Theoretical and Experimental Physics NRC Kurchatov Institute, 117218 Moscow, Russia
⁵ Theoretical Research Division, Nishina Center, RIKEN, Wako 351-0198, Japan
⁶ Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki, Osaka, 567-0047, Japan
⁷ Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, 141700 Russia

^* Speaker, e-mail: boyda_d@mail.ru

Published online: 26 March 2018

Abstract

The canonical approach is a powerful tool to circumvent sign problem in LQCD. Although it has its own difficulties it provides opportunity to determine QCD phase transition line. Using improved Wilson fermions we calculated number density at nonzero imaginary chemical potential for confinement and deconfinement phases, restored canonical partition functions Zn and did extrapolation into the real chemical potential region. We computed the higher moments of the baryon number including the kurtosis, and compared our results with information from relativistic heavy ion collision experiments.

© The Authors, published by EDP Sciences, 2018

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. (http://creativecommons.org/licenses/by/4.0/).