A Superspace Formulation for the Master Equation
Abstract
It is shown that the quantum master equation of the Field Antifield quantization method at one loop order can be translated into the requirement of a superfield structure for the action. The Pauli Villars regularization is implemented in this BRST superspace and the case of anomalous gauge theories is investigated. The quantum action, including Wess Zumino terms, shows up as one of the components of a superfield that includes the BRST anomalies in the other component. The example of W2 quantum gravity is also discussed.
Cite
@article{arxiv.hep-th/9510030,
title = {A Superspace Formulation for the Master Equation},
author = {Everton M. C. Abreu and Nelson R. F. Braga},
journal= {arXiv preprint arXiv:hep-th/9510030},
year = {2008}
}
Comments
The constrained nature of standard BRST superfields and the importance of using Alfaro and Damgaard's collective fields in the superspace approach to avoid undefined superfield derivatives was emphasized. To appear in Phys. Rev. D. Latex file, 20 pages