A confinement criterion for gauge theories with matter fields

Abstract

A generalization of the Wilson loop area-law criterion is proposed, which is applicable to gauge theories with matter in the fundamental representation of the gauge group. This new criterion, like the area law, is stronger than the statement that asymptotic particle states are massive color singlets, which holds even for theories described by the Brout-Englert-Higgs mechanism.

arXiv comment16 pages, 12 figures. v2: minor change in terminology, dictated by a precedent in the literature. No change in content. v3: reference added

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Cited by in corpus (20)

• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Brout-Englert-Higgs physics: From foundations to phenomenology
• Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches
• Is entanglement a probe of confinement?
• Higgs-confinement phase transitions with fundamental representation matter
• The Higgs phase as a spin glass, and the transition between varieties of confinement
• Field Correlator Method for the confinement in QCD
• What symmetry is actually broken in the Higgs phase of a gauge-Higgs theory?
• Analytical relations for the bound state spectrum of gauge theories with a Brout-Englert-Higgs mechanism
• Centre vortex structure in the presence of dynamical fermions
• Different faces of confinement
• Excitations of elementary fermions in gauge Higgs theories
• Excitations of isolated static charges in the charge $q=2$ abelian Higgs model
• Higgs-confinement continuity and matching of Aharonov-Bohm phases
• Numerical indication that center vortices drive dynamical mass generation in QCD
• Excited states of massive fermions in a chiral gauge theory
• Confinement-Higgs and deconfinement-Higgs transitions in three-dimensional $Z(2)$ LGT
• Chiral Symmetry in the Confinement Phase of QCD
• Color confinement and restoration of residual local gauge symmetries
• Non-perturbative Aspects of Quantum Field Theories from Holography