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

Abstract

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.

Keywords

• Gauge Symmetry
• Global Symmetries
• Space-Time Symmetries