The Batalin-Vilkovisky Field-Antifield Action for Systems with First-Class Constraints

TL;DR

This paper explicitly constructs the Batalin-Vilkovisky action for systems with first-class constraints, showing its independence from higher-order gauge structure functions and providing a method to find all-order gauge structure tensors.

Contribution

It presents an explicit form of the BV action based on canonical Hamiltonian data and introduces a method to determine all-order lagrangian gauge structure tensors.

Findings

BV action depends only on first-order gauge structure functions

Method for calculating all-order gauge structure tensors is provided

Lagrangian gauge structure tensors are independent of higher-order Hamiltonian functions

Abstract

The Batalin-Vilkovisky field-antifield action for systems with first-class constraints is given explicitly in terms of the canonical hamiltonian, the hamiltonian constraints and the first-order hamiltonian gauge structure functions. It is shown that this action does not depend on the hamiltonian gauge structure functions of higher orders. A method for finding the lagrangian gauge structure tensors of all orders is presented. It is proven that the lagrangian gauge structure tensors do not depend on the hamiltonian gauge structure functions of second- or higher-orders.