14730 2005.04103 10.1007/JHEP02(2021)004 4 4 Partial deconfinement at strong coupling on the lattice Regular Article - Theoretical Physics 1 48 2021 2 1 2020 6 15 2020 10 5 2020 12 14 2021 2 1 The Author(s) 2021 Open Access. This article is distributed under the terms of the Creative Commons Attribution License ( CC-BY 4.0 ), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. 13130 2021 2021 2 2 Hiromasa Watanabe watanabe@het.ph.tsukuba.ac.jp Georg Bergner georg.bergner@uni-jena.de Norbert Bodendorfer norbert.bodendorfer@physik.uni-r.de Shotaro Shiba Funai shotaro.funai@oist.jp Masanori Hanada m.hanada@surrey.ac.uk Enrico Rinaldi erinaldi.work@gmail.com Andreas Schäfer andreas.schaefer@physik.uni-regensburg.de Pavlos Vranas vranas2@llnl.gov grid.20515.33 0000 0001 2369 4728 Graduate School of Pure and Applied Sciences University of Tsukuba Tsukuba Ibaraki 305-8571 Japan grid.9613.d 0000 0001 1939 2794 University of Jena, Institute for Theoretical Physics Max-Wien-Platz 1 D-07743 Jena Germany grid.7727.5 0000 0001 2190 5763 University of Regensburg, Institute of Theoretical Physics Universitätsstrasse 31 D-93053 Regensburg Germany grid.250464.1 0000 0000 9805 2626 Physics and Biology Unit Okinawa Institute of Science and Technology (OIST) 1919-1 Tancha, Onna-son, Kunigami-gun Okinawa 904-0495 Japan grid.5475.3 0000 0004 0407 4824 Department of Mathematics University of Surrey Guildford Surrey GU2 7XH U.K. Arithmer Inc., R&D Headquarters Minato Tokyo 106-6040 Japan RIKEN iTHEMS Program Wako Saitama 351-0198 Japan grid.250008.f 0000 0001 2160 9702 Nuclear and Chemical Sciences Division Lawrence Livermore National Laboratory Livermore CA 94550 USA grid.184769.5 0000 0001 2231 4551 Nuclear Science Division Lawrence Berkeley National Laboratory Berkeley CA 94720 USA Abstract We provide evidence for partial deconfinement — the deconfinement of a SU(M) subgroup of the SU(N) gauge group — by using lattice Monte Carlo simulations. We take matrix models as concrete examples. By appropriately fixing the gauge, we observe that the M × M submatrices deconfine. This gives direct evidence for partial deconfinement at strong coupling. We discuss the applications to QCD and holography. Keywords Gauge-gravity correspondence Lattice Quantum Field Theory M(atrix) Theories ArXiv ePrint: 2005.04103