Origin of Antifields in the Batalin-Vilkovisky Lagrangian Formalism

Abstract

The antifields of the Batalin-Vilkovisky Lagrangian quantization are standard antighosts of certain collective fields. These collective fields ensure that Schwinger-Dyson equations are satisfied as a consequence of the gauge symmetry algebra. The associated antibracket and its canonical structure appear naturally if one integrates out the corresponding ghost fields. An analogous Master Equation for the action involving these ghosts follows from the requirement that the path integral gives rise to the correct Schwinger-Dyson equations.

arXiv comment36 pages, LaTeX, CERN--TH-6788/93

References in corpus (2)

• The Master Equation of 2D String Theory
• Comments on Unitarity in the Antifield Formalism

Cited by in corpus (31)

• Consistent couplings between fields with a gauge freedom and deformations of the master equation
• Antibracket, Antifields and Gauge-Theory Quantization
• Local BRST cohomology in the antifield formalism: I. General theorems
• Triplectic Quantization: A Geometrically Covariant Description of the Sp(2)-symmetric Lagrangian Formalism
• Predictivity and Nonrenormalizability
• A superspace formulation of the BV action
• Schwinger-Dyson equation for non-Lagrangian field theory
• Non-Abelian Antibrackets
• Comments on the Covariant Sp(2)-Symmetric Lagrangian BRST Formalism
• BV formulation of higher form gauge theories in a superspace
• An Approach to the Equivalence Theorem by the Slavnov-Taylor Identities
• On the Renormalization of the Complex Scalar Free Field Theory
• Lorentz Violating $p$-form Gauge Theories in Superspace
• A SUPERSPACE FORMULATION FOR THE BATALIN VILKOVISKY FORMALISM WITH EXTENDED BRST INVARIANCE
• A Superspace Formulation for the Master Equation
• Batalin-Vilkovisky Formalism and Integration Theory on Manifolds
• On the BFFT quantization of first order systems
• On SU(2) anomaly and Majorana fermions
• Generalized Lagrangian Master Equations
• Abelian BF Theories and Knot Invariants
• Superspace Formulation for the BRST Quantization of the Chiral Schwinger Model
• A superspace description of Friedmann-Robertson-Walker models
• Global Anomalies in the Batalin Vilkovisky Quantization
• A superspace description of Chern-Simons theory in Batalin-Vilkovisky formulation
• A quantum field theoretical approach to the P vs. NP problem via the sign of the fermionic Quantum Monte Carlo
• Schwinger--Dyson BRST symmetry and the Batalin--Vilkovisky Lagrangian Quantisation of Gauge Theories with Open or Reducible Gauge Algebras
• From on-shell to off-shell open gauge theories
• Gauge fixing and BRST formalism in non-Abelian gauge theories
• Conservation law in noncommutative geometry -- Application to spin-orbit coupled systems
• Field-enlarging transformations and chiral theories
• Compensating fields, bosonization and soldering in QCD2