Antibracket, Antifields and Gauge-Theory Quantization

Abstract

The antibracket formalism for gauge theories, at both the classical and quantum level, is reviewed. Gauge transformations and the associated gauge structure are analyzed in detail. The basic concepts involved in the antibracket formalism are elucidated. Gauge-fixing, quantum effects, and anomalies within the field-antifield formalism are developed. The concepts, issues and constructions are illustrated using eight gauge-theory models.

191 pages in three files which must be put together, in Latex, to appear in Physics Reports

References in corpus (46)

• Closed String Field Theory: Quantum Action and the BV Master Equation
• Introduction to string field theory
• Consistent couplings between fields with a gauge freedom and deformations of the master equation
• Geometry of Batalin-Vilkovisky quantization
• Batalin-Vilkovisky algebras and two-dimensional topological field theories
• Renormalization of gauge invariant operators and anomalies in Yang-Mills theory
• Semiclassical approximation in Batalin-Vilkovisky formalism
• BRST Analysis of Physical States for 2D (Super) Gravity Coupled to (Super) Conformal Matter
• New Perspectives on the BRST-algebraic Structure of String Theory
• Extended N=2 Superconformal Structure of Gravity and W-Gravity Coupled to Matter
• Developing the Covariant Batalin-Vilkovisky approach to String Theory
• A Proof of Local Background Independence of Classical Closed String Field Theory
• Renormalization and finiteness of topological BF theories
• On possible generalizations of field--antifield formalism
• Origin of Antifields in the Batalin-Vilkovisky Lagrangian Formalism
• Perturbation Theory for Antisymmetric Tensor Fields in Four Dimensions
• Geometric Interpretation of the Quantum Master Equation in the BRST--anti-BRST Formalism
• Predictivity and Nonrenormalizability
• On the Background Independence of String Field Theory: III. Explicit Field Redefinitions
• On the Geometry of the Batalin-Vilkovisky Formalism
• The Master Equation of 2D String Theory
• The big picture
• Remarks on the renormalization of gauge invariant operators in Yang-Mills theory
• A Derivation of the BRST Operator for Non-Critical W-Strings
• A Note on Gauge Transformations in Batalin-Vilkovisky Theory
• On the multilevel generalization of the field--antifield formalism
• BRST-anti-BRST Antifield formalism : The Example of the Freedman-Townsend Model
• Hiding Anomalies
• Simplifications in Lagrangian BV quantization exemplified by the anomalies of chiral $W_3$ gravity
• Field-Antifield formalism for Anomalous Gauge Theories
• A Locally Supersymmetric Action for the Bosonic String
• Anomalies and Wess-Zumino Terms in an Extended, Regularized Field-Antifield Formalism
• Antifield Dependence of Anomalies
• Schwinger-Dyson BRST-Symmetry and the Equivalence of Hamiltonian and Lagrangian Quantistion
• The regularized BRST Jacobian of pure Yang-Mills theory
• The Effective Action of $W_3$ Gravity to All Orders
• Semi-infinite cohomology of W-algebras
• Extended form method of antifield-BRST formalism for topological quantum field theories
• Generalized Lagrangian Master Equations
• On the Cohomology of the Noncritical $W$-string
• Spacetime Diffeomorphisms and Topological W-Infinity Symmetry in Two Dimensional Topological String Theory
• Canonical BRST Quantisation of Worldsheet Gravities
• Faddeev-Popov method for anomalous quasigroups
• Construction of topological field theories using BV
• The Batalin-Vilkovisky Formalism on Fermionic Kaehler Manifolds
• Antisymmetric tensor gauge theory

Cited by in corpus (232)

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• Analytical Solutions of Open String Field Theory
• Double Copy from Homotopy Algebras
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• A Poincare lemma for sigma models of AKSZ type
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• Open superstring field theory I: gauge fixing, ghost structure, and propagator
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• Rigid and gauge Noether symmetries for constrained systems
• Local BRST cohomology and Seiberg-Witten maps in noncommutative Yang-Mills theory
• Superfield Approach to Symmetries for Matter Fields in Abelian Gauge Theories
• A Weak Power-Counting Theorem for the Renormalization of the Non-Linear Sigma Model in Four Dimensions
• Topological aspects in non-Abelian gauge theory
• Consistent deformations of free massive field theories in the Stueckelberg formulation
• Hamiltonian BRST and Batalin-Vilkovisky formalisms for second quantization of gauge theories
• On the renormalization of gauge theories in curved space-time
• The Background Field Method as a Canonical Transformation
• The KT-BRST complex of a degenerate Lagrangian system
• A Massive Yang-Mills Theory based on the Nonlinearly Realized Gauge Group
• Abelian 2-form gauge theory: special features
• Renormalization of the Yang-Mills theory in the ambiguity-free gauge
• Gauge $\times$ Gauge on Spheres
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• BRST quantization and equivariant cohomology: localization with asymptotic boundaries
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• Quantum Noether Method
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• SU_L(2) X U_Y(1)-invariant description of the bilepton contribution to the WWV vertex in the minimal 331 model
• A topological sigma model of biKaehler geometry
• A derivation of Weyl gravity
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• Noether's second theorem in a general setting. Reducible gauge theories
• The Z_2-graded Schouten-Nijenhuis bracket and generalized super-Poisson structures
• Validity of Gauge-Fixing Conditions and the Structure of Propagators in Open Superstring Field Theory
• Gauge invariance and quantization of Yang-Mills theories in extra dimensions
• Slavnov-Taylor Parameterization for the Quantum Restoration of BRST Symmetries in Anomaly-Free Gauge Theories
• The $L_{\infty }$ structure of gauge theories with matter
• Higher Loop Anomalies and their Consistency Conditions in Nonlocal Regularization
• Bilepton effects on the WWV^* vertex in the 331 model with right-handed neutrinos via a SU_L(2)XU_Y(1) covariant quantization scheme
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• Cohomological aspects of gauge theories: superfield formalism
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• On Soldering Chiralities
• Higher-order non-symmetric counterterms in pure Yang-Mills theory
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• One-loop effects of extra dimensions on the WWγand WWZ vertices
• Generalising the Ginsparg-Wilson relation: Lattice Supersymmetry from Blocking Transformations
• Higher order BRST and anti-BRST operators and cohomology for compact Lie algebras
• Structure of Higher Spin Gauge Interactions
• Tree-Level Color-Kinematics Duality Implies Loop-Level Color-Kinematics Duality up to Counterterms
• Anomalous Gauge Theories with Antisymmetric Tensor Fields
• Quantum gravity, renormalizability and diffeomorphism invariance
• The BRST--antibracket cohomology of $2d$ gravity conformally coupled to scalar matter
• On the quantisation and anomalies of antisymmetric tensor-spinors
• On The Gauge-Fixed BRST Cohomology
• Double Copy from Tensor Products of Metric BV${}^{■}$-algebras
• Further Comments on the Symmetric Subtraction of the Nonlinear Sigma Model
• Slavnov-Taylor constraints for non-trivial backgrounds
• BRST-antifield-treatment of metric-affine gravity
• Covariant canonical formulations of classical field theories
• Nilpotent Symmetries For Matter Fields In Non-Abelian Gauge Theory: Augmented Superfield Formalism
• Cohomology of the variational complex in BRST theory
• QFT with Stubs
• Superfield approach to a novel symmetry for non-Abelian gauge theory
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• Batalin-Vilkovisky Integrals in Finite Dimensions
• Effective Action of Composite Fields for General Gauge Theories in BLT-Covariant Formalism
• Off-shell renormalization in the presence of dimension 6 derivative operators. I. General theory
• Deformations of vector-scalar models
• N=2 SYM Action as a BRST Exact Term, Topological Yang Mills and Instantons
• Deformations of global symmetries in the extended antifield formalism
• Minkowski superspaces and superstrings as almost real-complex supermanifolds
• Quantization of the complex linear superfield
• Democratic Superstring Field Theory: Gauge Fixing
• Canonical Transformations and Renormalization Group Invariance in the presence of Non-trivial Backgrounds
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• The BPHZ renormalised BV master equation and Two-loop Anomalies in Chiral Gravities
• Higgs Potential from Derivative Interactions
• Fluxes in Exceptional Field Theory and Threebrane Sigma-Models
• On the symmetries of BF models and their relation with gravity
• A SUPERSPACE FORMULATION FOR THE BATALIN VILKOVISKY FORMALISM WITH EXTENDED BRST INVARIANCE
• Graded Chern-Simons field theory and graded topological D-branes
• Slavnov-Taylor parameterization of Yang-Mills theory with massive fermions in the presence of singlet axial-vector currents
• Gauge-invariant massive BF models
• Conformal geometrodynamics regained: gravity from duality
• Gravity generated by four one-dimensional unitary gauge symmetries and the Standard Model
• One-loop structure of the photon propagator in the Standard Model Extension
• A Superspace Formulation for the Master Equation
• The geometry of variations in Batalin-Vilkovisky formalism
• On the symmetries of special holonomy sigma models
• Higher order cohomological restrictions on anomalies and counterterms
• The 2 - particle irreducible effective action in gauge theories
• The calculus of multivectors on noncommutative jet spaces
• Path-integral over non-linearly realized groups and Hierarchy solutions
• Hidden symmetries induced by a canonical transformation and gauge structure of compactified Yang-Mills theories
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• U_e(1)--covariant R_ξ--gauge for the two Higgs doublet model
• Anomalies in time-ordered products and applications to the BV-BRST formulation of quantum gauge theories
• Free Energy on the Sphere for Non-Abelian Gauge Theories
• Noncommutative geometry and the BV formalism: application to a matrix model
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• On the BFFT quantization of first order systems
• Algebraic formulation of higher gauge theory
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• Generalized Jacobi structures
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• From the BRST invariant Hamiltonian to the Field-Antifield Formalism
• On the Cohomological Derivation of Yang-Mills Theory in the Antifield Formalism
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• Comments on the Gauge Fixed BRST Cohomology and the Quantum Noether Method
• Symmetries of topological field theories in the BV-framework
• The effective action and quantum gauge transformations
• Lagrangian approach to local symmetries and self-dual model in gauge invariant formulation
• Partonic description of a supersymmetric p-brane
• The Algebra of Physical Observables in Nonlinearly Realized Gauge Theories
• Uniqueness of $\mathcal{N}=2$ and $3$ pure supergravities in 4D
• Notes on the Quantization of the Complex Linear Superfield
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• The continuum limit of quantum gravity at second order in perturbation theory
• Non-Trivial Ghosts and Second Class Constraints
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• Distinctive ultraviolet structure of extra-dimensional Yang-Mills theories by integration of heavy Kaluza-Klein modes
• Topological A-Type Models with Flux
• One Loop Anomalies and Wess-Zumino Terms for General Gauge Theories
• Topological Dirac Sigma Models and the Classical Master Equation
• Symmetries and dynamics in constrained systems
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• The gauging of BV algebras
• Geometric BV for twisted Courant sigma models and the BRST power finesse
• Global Anomalies in the Batalin Vilkovisky Quantization
• Effects of universal extra dimensions on top-quark electromagnetic interactions
• Lagrangian Sp(3) BRST symmetry for irreducible gauge theories
• Superspace Formulation for the BRST Quantization of the Chiral Schwinger Model
• The WZ Term of the Spinning String and its On-shell Structure
• Gauge invariant renormalizability of quantum gravity
• Canonical Flow in the Space of Gauge Parameters
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• Generalized gaugings and the field-antifield formalism
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• Target Space Equivariant Cohomological Structure of the Poisson Sigma Model
• Higher Order Anomaly Consistency Conditions: Renormalization and Non-Locality
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• Nambu-Goldstone Fields, Anomalies and WZ Terms
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• Wess-Zumino sigma models with non-Kahlerian geometry
• Translational groups as generators of gauge transformations
• Gauge-Invariant Quantum Fields
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• Dynamical sectors of a relativistic two particle model
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• Quantizing Yang-Mills Theory on a 2-Point Space
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• Various forms of BRST symmetry in Abelian 2-form gauge theory
• Quantum gauge symmetry of reducible gauge theory
• Sp(2) Renormalization
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• Comments on the Equivalence between Chern-Simons Theory and Topological Massive Yang-Mills Theory in 3D
• On Problems of the Lagrangian Quantization of W3-gravity
• Hamiltonian and Lagrangian BRST quantization in Riemann Manifold II
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• Symplectic gaugings and the field-antifield formalism
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• Lagrangian gauge structure functions for systems with first-class constraints
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• Decoupling Limits in Effective Field Theories via Higher Dimensional Operators
• Quantization of Neveu-Schwarz-Ramond Superstring Model in 10+2-dimensional Spacetime
• On a class of embeddings of massive Yang-Mills theory
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• Trace anomaly in the field-antifield formalism
• Renormalizable Extension of the Abelian Higgs-Kibble Model with a Dim.6 Derivative Operator
• Instances of Higher Geometry in Field Theory
• Two different gauge-invariant models in the Lagrangian approach
• Compensating fields, bosonization and soldering in QCD2
• Auxiliary fields in open gauge theories
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