Superfield generating equation of field-antifield formalism

Abstract

A simple quantum superfield generating equation of the field-antifield formalism is proposed. The Schroedinger equation with the Hamiltonian having $\Delta$-exact form is derived. An $Sp(2)$ symmetric extension to the main construction, with specific features caused by the principal fact that all basic equations become $Sp(2)$ vector-valued ones, is presented. A principal role of quantum antibrackets in formulation of the Heisenberg equations of motion is shown.

6 pages, Contribution to the Proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'2017, 31 July - 5 August, 2017, Dubna, Russia)

References in corpus (2)

• A systematic study of finite BRST-BV transformations within W-X formulation of the standard and the Sp(2)-extended field-antifield formalism
• Superfield Hamiltonian quantization in terms of quantum antibrackets