Linear confinement in the partially-deconfined phase

Gautam, Vaibhav, Hanada, Masanori, Holden, Jack and Rinaldi, Enrico (2023) Linear confinement in the partially-deconfined phase. Journal of High Energy Physics, 2023 (3), [195]. (doi:10.1007/JHEP03(2023)195).

Record type: Article

Abstract

We consider the partially-deconfined saddle of large-N pure Yang-Mills theory lying between confined and deconfined phases, in which the color degrees of freedom split into confined and deconfined sectors. Based on the microscopic mechanism of deconfinement, we argue that a flux tube is formed in the confined sector and a linear confinement potential is generated. The string tension should not depend on the size of the confined sector. We provide evidence for the case of the finite-temperature strong-coupling lattice gauge theory. In particular, we make analytic predictions assuming linear confinement in the confined sector, and then confirm these by numerical simulations. We discuss some implications of the conjecture to QCD and holography.

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Accepted/In Press date: 14 March 2023

Published date: 24 March 2023

Additional Information: V.G. thanks STFC for Doctoral Training Programme funding (ST/W507854-2021 Maths DTP). M.H. thanks the STFC Ernest Rutherford Grant ST/R003599/1. J.H. thanks STFC for the support of a studentship. E.R. is supported by Nippon Telegraph and Telephone Corporation (NTT) Research.

Keywords: hep-lat, hep-ph, hep-th, Confinement, Wilson, ’t Hooft and Polyakov loops, Other Lattice Field Theories, Thermal Field Theory

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