We explore the effective field theory of a vector ${X}^{\ensuremath{\mu}}$ that has St\"uckelberg mass. The absence gauge symmetry for implies Lorentz-invariant operators are constructed directly from ${X}^{\ensuremath{\mu}}$. Beyond kinetic and mass terms, allowed interactions at renormalizable level include ${X}_{\ensuremath{\mu}}{X}^{\ensuremath{\mu}}{H}^{\ifmmode\dagger\else\textdagger\fi{}...

A bstract We consider oscillons — localized, quasiperiodic, and extremely long-living classical solutions in models with real scalar fields. develop their effective description the limit of large size at finite field strength. Namely, we note that nonlinear long-range configurations can be described by an complex ψ ( t, x ) which is related to original fields a canonical transformation. The act...