skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Higgs phase as a spin glass and the transition between varieties of confinement

Abstract

We propose that the Higgs phase of a gauge Higgs theory is the phase of spontaneously broken custodial symmetry, and we 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.

Authors:
ORCiD logo;
Publication Date:
Research Org.:
San Francisco State Univ., CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1605318
Alternate Identifier(s):
OSTI ID: 1631272
Grant/Contract Number:  
SC0013682
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Greensite, Jeff, and Matsuyama, Kazue. Higgs phase as a spin glass and the transition between varieties of confinement. United States: N. p., 2020. Web. doi:10.1103/PhysRevD.101.054508.
Greensite, Jeff, & Matsuyama, Kazue. Higgs phase as a spin glass and the transition between varieties of confinement. United States. doi:https://doi.org/10.1103/PhysRevD.101.054508
Greensite, Jeff, and Matsuyama, Kazue. Tue . "Higgs phase as a spin glass and the transition between varieties of confinement". United States. doi:https://doi.org/10.1103/PhysRevD.101.054508.
@article{osti_1605318,
title = {Higgs phase as a spin glass and the transition between varieties of confinement},
author = {Greensite, Jeff and Matsuyama, Kazue},
abstractNote = {We propose that the Higgs phase of a gauge Higgs theory is the phase of spontaneously broken custodial symmetry, and we 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.},
doi = {10.1103/PhysRevD.101.054508},
journal = {Physical Review D},
number = 5,
volume = 101,
place = {United States},
year = {2020},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: https://doi.org/10.1103/PhysRevD.101.054508

Save / Share:

Works referenced in this record:

Gauge field theories on a lattice
journal, February 1978


Confinement criterion for QCD with dynamical quarks
journal, January 1986


D-theory: field theory via dimensional reduction of discrete variables
journal, April 1998

  • Beard, B. B.; Brower, R. C.; Chandrasekharan, S.
  • Nuclear Physics B - Proceedings Supplements, Vol. 63, Issue 1-3
  • DOI: 10.1016/S0920-5632(97)00900-6

Phase structure, magnetic monopoles, and vortices in the lattice Abelian Higgs model
journal, July 1983


Theory of spin glasses
journal, May 1975


Spontaneous symmetry breaking and decoherence in superconductors
journal, February 2008


The phase structure of a non-abelian gauge Higgs field system
journal, September 1981


Effective Field Theory
journal, December 1993


Efficient gauge fixing via overrelaxation
journal, September 1990


Cuprates and center vortices: A QCD confinement mechanism in a high-T c context
journal, January 2020


Phase diagrams of lattice gauge theories with Higgs fields
journal, June 1979


On the phase transition towards permanent quark confinement
journal, June 1978


Gauge fixing on the lattice without ambiguity
journal, September 1992


Higgs phenomenon without symmetry breaking order parameter
journal, October 1981


Ambiguity of spontaneously broken gauge symmetry
journal, July 2008


Spontaneous symmetry breakdown in the abelian Higgs model
journal, June 1986

  • Kennedy, Tom; King, Chris
  • Communications in Mathematical Physics, Vol. 104, Issue 2
  • DOI: 10.1007/BF01211599

Superconductors are topologically ordered
journal, October 2004


Confinement criterion for gauge theories with matter fields
journal, November 2017


Gauge models for spin-glasses
journal, November 1978


Is electromagnetic gauge invariance spontaneously violated in superconductors?
journal, September 2005


Brout–Englert–Higgs physics: From foundations to phenomenology
journal, May 2019


Nonperturbative BRS invariance and the Gribov problem
journal, January 1987


BRST-symmetry breaking and Bose-ghost propagator in lattice minimal Landau gauge
journal, September 2014


What symmetry is actually broken in the Higgs phase of a gauge-Higgs theory?
journal, October 2018


Nature of symmetry breaking in the superconducting ground state
journal, November 2019


The spectrum of an SU(3) gauge theory with a fundamental Higgs field
journal, October 2018