A new stability equation for the Abelian Higgs–Kibble model with a dimension-6 derivative operator.

We show that the dynamics of the scalar Higgs field in the Abelian Higgs–Kibble model supplemented with a dimension-6 derivative operator can be constrained at the quantum level by a certain stability equation. It holds in the Landau gauge and is derived within the recently proposed extended field formalism, where the physical scalar is described by a gauge-invariant field variable. Physical implications of the stability equation are discussed. [ABSTRACT FROM AUTHOR]