ON THE CONSTRAINT ALGEBRA STRUCTURE FOR SYSTEMS WITH GAUGE TRANSFORMATIONS DEPENDING ON HIGHER ORDER TIME DERIVATIVES OF THE GAUGE PARAMETERS

Abstract

In the Hamiltonian approach to the gauge models, the constraints on the one hand and the Hamiltonian and constraints on the other hand have to form closed algebras with respect to the Poisson brackets. We investigate the consequences of this requirement when the dynamical system is invariant under gauge transformations with higher order time derivatives of the gauge parameter. It is demonstrated that the required algebraic structure leads to rigid relations in the constraint algebra.