Papers › Linear confinement in the partially-deconfined phase

Linear confinement in the partially-deconfined phase

30 Aug 2022arXiv:2208.14402links table onlyarchive 2025-07-28

Vaibhav Gautam, Masanori Hanada, Jack Holden, Enrico Rinaldi

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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 by studying 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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