Second Class Constraints in a Higher-Order Lagrangian Formalism

Abstract

We consider the description of second-class constraints in a Lagrangian path integral associated with a higher-order $\hat{I}”$-operator. Based on two conjugate higher-order $\hat{I}”$-operators, we also propose a Lagrangian path integral with $Sp(2)$ symmetry, and describe the corresponding system in the presence of second-class constraints.

LaTeX, 8 pages