Master Equations for Extended Lagrangian BRST Symmetries

Abstract

Starting from the requirement that a Lagrangian field theory be invariant under both Schwinger-Dyson BRST and Schwinger-Dyson anti-BRST symmetry, we derive the BRST--anti-BRST analogue of the Batalin-Vilkovisky formalism. This is done through standard Lagrangian gauge fixing respecting the extended BRST symmetry. The solutions of the resulting Master Equation and the gauge-fixing procedure for the quantum action can be brought into forms that coincide with those obtained earlier on algebraic grounds by Batalin, Lavrov and Tyutin.

12 pages, LaTeX, KUL-TF-93/04 and CERN-TH-6800/93

References in corpus (2)

• Geometric Interpretation of the Quantum Master Equation in the BRST--anti-BRST Formalism
• The regularized BRST Jacobian of pure Yang-Mills theory

Cited by in corpus (13)

• Triplectic Quantization: A Geometrically Covariant Description of the Sp(2)-symmetric Lagrangian Formalism
• Completely anticanonical form of Sp(2)-symmetric Lagrangian quantization
• General Triplectic Quantization
• Non-Abelian Antibrackets
• Comments on the Covariant Sp(2)-Symmetric Lagrangian BRST Formalism
• Effective Action of Composite Fields for General Gauge Theories in BLT-Covariant Formalism
• A SUPERSPACE FORMULATION FOR THE BATALIN VILKOVISKY FORMALISM WITH EXTENDED BRST INVARIANCE
• Koszul-Tate Cohomology For an Sp(2)-Covariant Quantization of Gauge Theories with Linearly Dependent Generators
• Generalized Lagrangian Master Equations
• Quantum Sp(2)-antibrackets and open groups
• A Lie Group Structure Underlying the Triplectic Geometry
• Schwinger--Dyson BRST symmetry and the Batalin--Vilkovisky Lagrangian Quantisation of Gauge Theories with Open or Reducible Gauge Algebras
• Gauge models in modified triplectic quantization