Asymptotic symmetries of scalar electrodynamics and of the abelian Higgs model in Hamiltonian formulation

Abstract

We investigate the asymptotic symmetry group of a scalar field minimally-coupled to an abelian gauge field using the Hamiltonian formulation. This extends previous work by Henneaux and Troessaert on the pure electromagnetic case. We deal with minimally coupled massive and massless scalar fields and find that they behave differently insofar as the latter do not allow for canonically implemented asymptotic boost symmetries. We also consider the abelian Higgs model and show that its asymptotic canonical symmetries reduce to the Poincaré group in an unproblematic fashion.

We have modified the first part of section 2 and expanded sections 4.4 and 4.5. In addition, we have corrected a few typos, including a wrong index in equation (2.7). The results and the conclusions are unchanged. Accepted on JHEP

References in corpus (4)

• The Asymptotic Behavior of Massless Fields and the Memory Effect
• The asymptotic structure of electromagnetism in higher spacetime dimensions
• Asymptotic symmetries of Yang-Mills fields in Hamiltonian formulation
• Asymptotic structure of the Rarita-Schwinger theory in four spacetime dimensions at spatial infinity

Cited by in corpus (4)

• Local supersymmetry and the square roots of Bondi-Metzner-Sachs supertranslations
• Asymptotic structure of Carrollian limits of Einstein-Yang-Mills theory in four spacetime dimensions
• Higgs Phases and Boundary Criticality
• Asymptotic Symmetries of SU(2) Yang-Mills-Higgs Theory in Hamiltonian Formulation