Stueckelberg action
In field theory, the Stueckelberg action (named after Ernst Stueckelberg) describes a massive spin-1 field as an R (the real numbers are the Lie algebra of U(1)) Yang–Mills theory coupled to a real scalar field ϕ {\displaystyle \phi } . This scalar field takes on values in a real 1D affine representation of R with m {\displaystyle m} as the coupling strength.