Dyons and Roberge - Weiss transition in lattice QCD

V. G. Bornyakov; D. L. Boyda; V. A. Goy; E.-M. Ilgenfritz; B. V. Martemyanov; A. V. Molochkov; Atsushi Nakamura; A. A. Nikolaev; V. I. Zakharov

doi:10.1051/epjconf/201713703002

All issues

Volume 137 (2017)

EPJ Web Conf., 137 (2017) 03002

Abstract

Open Access

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


Article Number		03002
Number of page(s)		10
Section		Section A: Vacuum Structure and Confinement
DOI		https://doi.org/10.1051/epjconf/201713703002
Published online		22 March 2017

EPJ Web of Conferences 137, 03002 (2017)
https://doi.org/10.1051/epjconf/201713703002

Dyons and Roberge - Weiss transition in lattice QCD

V. G. Bornyakov¹^,3^a, D. L. Boyda¹^,2^,4, V. A. Goy¹^,2^,4, E.-M. Ilgenfritz⁵, B. V. Martemyanov⁴, A. V. Molochkov¹^,4, Atsushi Nakamura¹^,6^,7, A. A. Nikolaev¹^,4 and V. I. Zakharov¹^,4

¹ School of Biomedicine, Far Eastern Federal University, 690950 Vladivostok, Russia
² School of Natural Sciences, Far Eastern Federal University, 690950 Vladivostok, Russia
³ Institute for High Energy Physics NRC Kurchatov Institute, 142281 Protvino, Russia
⁴ Institute of Theoretical and Experimental Physics NRC Kurchatov Institute, 117218 Moscow, Russia
⁵ Joint Institute for Nuclear Research, BLTP, 141980 Dubna, Russia
⁶ Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki, Osaka, 567-0047, Japan
⁷ Theoretical Research Division, Nishina Center, RIKEN, Wako 351-0198, Japan

^a e-mail: vitaly.bornyakov@ihep.ru

Published online: 22 March 2017

Abstract

We study lattice QCD with N_f = 2 Wilson fermions at nonzero imaginary chemical potential and nonzero temperature. We relate the Roberge - Weiss phase transition to the properties of dyons which are constituents of the KvBLL calorons. We present numerical evidence that the characteristic features of the spectral gap of the overlap Dirac operator as function of an angle modifying the boundary condition are determined by the Z₃ sector of the respective imaginary chemical potential. We then demonstrate that dyon excitations in thermal configurations could be responsible (in line with perturbative excitations) for these phenomena.

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