Completely anticanonical form of Sp(2)-symmetric Lagrangian quantization

TL;DR

This paper reformulates the Sp(2)-symmetric Lagrangian quantization in a fully anticanonical form, extending the antifield formalism and proposing a new gauge fixing mechanism that ensures gauge independence.

Contribution

It introduces a completely anticanonical formulation of Sp(2)-symmetric Lagrangian quantization, including new antifield pairs and an improved gauge fixing method.

Findings

Extended antibrackets and operators to include new antifields

Proposed a gauge fixing mechanism ensuring gauge independence

Reformulated the quantization scheme in a fully anticanonical form

Abstract

The Sp(2)-symmetric Lagrangian quantization scheme is represented in a completely anticanonical form. Antifields are assigned to all field variables including former "parametric" ones \pi^{Aa}. The antibrackets (F, G)^a as well as the operators \triangle^a and V^a are extended to include the new anticanonical pairs \pi^{Aa}, \bar{\phi}_A. A new version of the gauge fixing mechanism in the Lagrangian effective action is proposed. The corresponding functional integral is shown to be gauge independent.