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.

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

References in corpus (11)

• Antibracket, Antifields and Gauge-Theory Quantization
• Renormalization of gauge invariant operators and anomalies in Yang-Mills theory
• Origin of Antifields in the Batalin-Vilkovisky Lagrangian Formalism
• A superspace formulation of the BV action
• Hiding Anomalies
• Field-Antifield formalism for Anomalous Gauge Theories
• Nonlocally Regularized Antibracket-Antifield Formalism and Anomalies in Chiral $W_3$ Gravity
• Anomalies and Wess-Zumino Terms in an Extended, Regularized Field-Antifield Formalism
• Antifield Dependence of Anomalies
• Regularization and the BV Formalism
• One Loop Anomalies and Wess-Zumino Terms for General Gauge Theories

Cited by in corpus (6)

• A Superspace Formulation of The BV Action for Higher Derivative Theories
• Noncommutativity and Non-anticommutativity in Perturbative Quantum Gravity
• Superfield Quantization
• Perturbative Quantum Gravity on Complex Spacetime
• First order gauge field theories from a superfield formulation
• Gauge models in modified triplectic quantization