The Higgs phase as a spin glass, and the transition between varieties of confinement

2020/01/09 by Jeff Greensite, Kazue Matsuyama · 1 citation
Physics and Astronomy · #hep-th #cond-mat.dis-nn #cond-mat.stat-mech #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.101.054508

published as Phys. Rev. D 101, 054508 (2020) · 17 pages, 1 figure

arxiv created 2020/01/09 · arxiv updated 2020/03/25

Abstract

We propose that the Higgs phase of a gauge Higgs theory is the phase of spontaneously broken custodial symmetry, and present a new gauge invariant order parameter for custodial symmetry breaking which is very closely analogous to the Edwards-Anderson order parameter for spin glasses. Custodial symmetry is a global symmetry acting on the Higgs field alone, and we show here that the spin glass transition in gauge Higgs theories, from a QCD-like phase to a Higgs phase of broken custodial symmetry, coincides with the transition between two distinct types of confinement. These are color confinement in the Higgs phase, and a stronger version of confinement, which we have termed "separation-of-charge" confinement, in the QCD-like phase.

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