Partial Deconfinement at Strong Coupling on the Lattice

Hiromasa Watanabe; Georg Bergner; Norbert Bodendorfer; Shotaro Shiba Funai; Masanori Hanada; Enrico Rinaldi; Andreas Schäfer; Pavlos Vranas; Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

doi:10.1007/JHEP02(2021)004

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Partial Deconfinement at Strong Coupling on the Lattice

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Partial Deconfinement at Strong Coupling on the Lattice

Hiromasa Watanabe, Georg Bergner, Norbert Bodendorfer, Shotaro Shiba Funai, Masanori Hanada, Enrico Rinaldi, Andreas Schäfer, Pavlos Vranas and Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Journal of High Energy Physics, Vol.2021(2), pp.1-48

01/02/2021

DOI: https://doi.org/10.1007/JHEP02(2021)004

Abstract

Gauge-gravity correspondence

Lattice Quantum Field Theory

M(atrix) Theories

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.

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Title: Partial Deconfinement at Strong Coupling on the Lattice
Creators: Hiromasa Watanabe
Georg Bergner
Norbert Bodendorfer
Shotaro Shiba Funai
Masanori Hanada - University of Surrey, Department of Mathematics
Enrico Rinaldi
Andreas Schäfer
Pavlos Vranas
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Details: Journal of High Energy Physics, Vol.2021(2), pp.1-48
Date published: 01/02/2021
Date accepted: 14/12/2020
Grants: Ernest Rutherford Grant, ST/R003599/1, Science and Technology Facilities Council (United Kingdom, Swindon) - STFC
Grant note: M.H. thanks Pavel Buividovich, Leoniz Glozman, Raghav Jha, David Schaich, Hidehiko Shimada, Yuya Tanizaki and Masaki Tezuka for discussions and comments. G.B. acknowledges support from the Deutsche Forschungs-gemeinschaft (DFG) Grant No. BE 5942/2-1. N.B. was supported by an International Junior Research Group grant of the Elite Network of Bavaria. The work of M.H. was partially supported by the STFC Ernest Rutherford Grant ST/R003599/1 and JSPS KAKENHI Grants17K1428. P.V. was supported by DOE LLNL Contract No. DE-AC52-07NA27344. The numerical simulations were performed on ATHENE, the HPC cluster of the Regensburg University Compute Centre; the HPC cluster ARA of the University of Jena; and ‘pochi’ at the University of Tsukuba. Computing support for this work came also from the Lawrence Livermore National Laboratory (LLNL) Institutional Computing Grand Challenge program.
Identifiers: 99595023702346
Copyright: © The Authors 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.
Academic Unit: Department of Mathematics
Language: English
Resource Type: Journal article

Partial Deconfinement at Strong Coupling on the Lattice

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