English

Superfield generating equation of field-antifield formalism

High Energy Physics - Theory 2018-11-14 v1

Abstract

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

Keywords

Cite

@article{arxiv.1711.10308,
  title  = {Superfield generating equation of field-antifield formalism},
  author = {I. A. Batalin and P. M. Lavrov},
  journal= {arXiv preprint arXiv:1711.10308},
  year   = {2018}
}

Comments

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