Entanglement in four-dimensional SU(3) gauge theory

Itou, Etsuko (KEK Theory Center, High Energy Accelerator Research Organisation, Tsukuba, 305-0801, Japan) ; Nagata, Keitaro (KEK Theory Center, High Energy Accelerator Research Organisation, Tsukuba, 305-0801, Japan) ; Nakagawa, Yoshiyuki (RIISE, Hiroshima University, Higashi-Hiroshima, Hiroshima, 739-8521, Japan) ; Nakamura, Atsushi (Theoretical Research Division, Nishina Center, RIKEN, Wako 351-0198, Japan) (Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki, Osaka, 567-0047, Japan) (School of Biomedicine, Far Eastern Federal University, Sukhanova 8, Vladivostok 690950, Russia) ; Zakharov, V. I. (School of Biomedicine, Far Eastern Federal University, Sukhanova 8, Vladivostok 690950, Russia) (ITEP, B. Cheremushkinskaya 25, Moscow, 117218 Russia) (Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, 141700 Russia)

10 June 2016

Abstract: We investigate the quantum entanglement entropy for the four-dimensional Euclidean SU(3) gauge theory. We present the first non-perturbative calculation of the entropic -function ( ) of SU(3) gauge theory in lattice Monte Carlo simulation using the replica method. For  fm, where is the length of the subspace, the entropic -function is almost constant, indicating conformally invariant dynamics. The value of the constant agrees with that perturbatively obtained from free gluons, with 20% discrepancy. When is close to the scale, the entropic -function decreases smoothly, and it is consistent with zero within error bars at  fm.


Published in: PTEP 2016 (2016) 061B01
Published by: Oxford University Press/Physical Society of Japan
DOI: 10.1093/ptep/ptw050
arXiv: 1512.01334
License: CC-BY-3.0



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