Photon operators for lattice gauge theory

Abstract

Photon operators with the proper $J^{PC}$ quantum numbers are constructed, including one made of elementary plaquettes. In compact U(1) lattice gauge theory, these explicit photon operators are shown to permit direct confirmation of the massive and massless states on each side of the phase transition. In the abelian Higgs model, these explicit photon operators avoid some excited state contamination seen with the traditional composite operator, and allow more detailed future studies of the Higgs mechanism.

7 pages, 13 figures. v2: reference added

References in corpus (3)

• Vector particle scattering on the lattice
• Abelian Higgs model with charge conjugate boundary conditions
• Non-perturbatively gauge-fixed compact $U(1)$ lattice gauge theory

Cited by in corpus (6)

• Analytical relations for the bound state spectrum of gauge theories with a Brout-Englert-Higgs mechanism
• Canonical Momenta in Digitized SU(2) Lattice Gauge Theory: Definition and Free Theory
• Phase structure of electroweak vacuum in a strong magnetic field: the lattice results
• A composite massless vector boson
• Excited states of massive fermions in a chiral gauge theory
• The Fröhlich-Morchio-Strocchi mechanism: A underestimated legacy