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 $\Delta$-operator. Based on two conjugate higher-order $\Delta$-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

References in corpus (9)

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• Gauge Independence in a Higher-Order Lagrangian Formalism via Change of Variables in the Path Integral
• The BV formalism for L${}_{\infty }$-algebras
• Path Integral Formulation with Deformed Antibracket
• Does the nontrivially deformed field-antifield formalism exist?