Coherent-state representation of a non-Abelian charged quantum field

Abstract

Quasicoherent states, previously defined for bosons with SU(2) gauge charge (and no other degree of freedom), are now defined for the general (field-theoretical) case. The coherent states thus constructed form a complete basis in the Fock space. They transform according to irreducible representations of the SU(2) group and are at the same time eigenstates of isosinglet pair and isosinglet three-particle annihilation operators. Some physical applications are indicated in the contexts of multiple particle production and gluon bremsstrahlung by a quark line in $e^{+}{e}^{-}$ annihilation.