Symmetry breaking in the lattice abelian Higgs model
… order parameter is introduced for the Abelian Higgs model and used to prove the
existence of a phase transition for the lattice theory in three or more dimensions. In Landau
gauge this order parameter is the limit of (@(x)@(y)) as l x — … In space-time dimension d ~3
the Euclidean lattice Abelian Higgs model is known to have two phases. In the QED phase,
the photon is massless, 'while in the Higgs phase the photon acquires a mass. …
existence of a phase transition for the lattice theory in three or more dimensions. In Landau
gauge this order parameter is the limit of (@(x)@(y)) as l x — … In space-time dimension d ~3
the Euclidean lattice Abelian Higgs model is known to have two phases. In the QED phase,
the photon is massless, 'while in the Higgs phase the photon acquires a mass. …
Abstract
A new gauge-invariant order parameter is introduced for the Abelian Higgs model and used to prove the existence of a phase transition for the lattice theory in three or more dimensions. In Landau gauge this order parameter is the limit of< φ (x) φ (y)> as| x− y|→∞.
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