Dirac's Observables for the Higgs Model I: The Abelian Case

• DOI: 10.1142/s0217751x97002541
• Publication Date: 2003-10-22T01:39:04Z
• Authors: Luca Lusanna; Paolo Valtancoli
• Keywords: Hamiltonian (control theory); Massless particle

We search a canonical basis of Dirac's observables for the classical Abelian Higgs model with fermions in case trivial U(1) principal bundle. The study Gauss law first class constraint shows that has two disjoint sectors solutions associated physically different phases. In electromagnetic phase, field remains massless: after determination we get both reduced physical Hamiltonian and Lagrangian are nonlocal. becomes massive terms local, but nonanalytic electric charge (or equivalently sum mass residual field), Hamiltonian; however is Some comments on R-gauge-fixing, possible elimination Nielsen-Olesen vortex solution close paper.