Antibracket, antifields and gauge-theory quantization

Physics Reports

Volumn 259, Issue 1-2, 1995, Pages 1-145

  Gomis, Joaquim ^a,b   París, Jordi ^c   Samuel, Stuart ^d  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b UNIVERSITY OF BARCELONA   (Spain)

^c UNIVERSITY OF LEUVEN   (Belgium)

^d CITY COLLEGE OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002723323     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/0370-1573(94)00112-G     Document Type: Review

References (310)

1. Gauge Theories
2. Origin of Antifields in the Batalin-Vilkovisky Lagrangian Formalism
3. Generalized Lagrangian Master Equations
4. The Two Quantum Symmetries Associated with a Classical Symmetry
5. Removal of Divergences with the Batalin-Vilkovsky Formalism
6. The Batalin-Vilkovisky Formalism on Fermionic Kähler Manifolds
7. Consistency Problems in Hypergravity
8. Quantization of Gauge Theories with Weyl Fermions
9. Yang-Mills Cohomology in Four Dimensions
10. Nonpolynomial Yang-Mills Cohomology
11. All Free String Theories Are Theories of Forms
12. Supersymmetries and the Pseudoclassical Relativistic Electron
13. BRST-Anti-BRST Antifield Formalism The Example of the Freedman-Townsend Model
14. Consistent Couplings Between Fields with a Gauge Freedom and Deformations of the Master Equation
15. Renormalization of Gauge Invariant Operators and Anomalies in Yang-Mills Theory
16. Ward Identities for Quantum Field Theories with External Fields
17. A Locally Supersymmetric Action for the Bosonic String
18. Quasigroup Construction and First Class Constraints
19. A Generalized Canonical Formalism and Quantization of Reducible Gauge Theories
20. Operator Quantization and Abelization of Dynamical Systems Subject to First-Class Constraints
21. Covariant Quantization of Gauge Symmetries in the Framework of Extended BRST Symmetry
22. An Sp(2)-Covariant Quantization of Gauge Theories with Linearly Dependent Generators
23. On the Multilevel Generalization of the Field-Antifield Formalism
24. On Possible Generalizations of Field-Antifield Formalism
25. Relativistic S-Matrix of Dynamical Systems with Boson and Fermion Constraints
26. Gauge Algebra and Quantization
27. Feynman Rules for Reducible Gauge Theories
28. Quantization of Gauge Theories with Linearly Dependent Generators
29. Closure of the Gauge Algebra, Generalized Lie Algebra Equations and Feynman Rules
30. Existence Theorem for Gauge Algebra
31. Teories de Camps de Cordes
32. Lagrangian and Hamiltonian BRST Structures of the Antisymmetric Tensor Gauge Theory
33. Lagrangian and Hamiltonian BRST Formalisms
34. Field-Antifield Formalism and Hamiltonian BRST Approach
35. Perturbative Gauge Theories
36. Batalin-Vilkovisky Analysis of Supersymmetric Systems
37. Open BRST Algebras, Ghost Unification and String Field Theory
38. Topological Yang-Mills Symmetry
39. The Abelian Higgs Kibble Model, Unitarity of the S-Operator
40. Renormalization of the Abelian Higgs-Kibble Model
41. Renormalization of Gauge Theories
42. On Spin 5/2 Gauge Fields
43. Supermanifolds
44. Particle Spin Dynamics as the Grassmann Variant of Classical Mechanics
45. On the Cohomology of the Non-Critical W String
46. Unconstrained BRST for Superparticles
47. Superparticle Actions and Gauge Fixings
48. A Derivation of the BRST Operator for Non-Critical W-Strings
49. The Big Picture
50. Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
51. A BRST Operator for Non-Critical Strings
52. Extended N = 2 Superconformal Structure of Gravity and W-Gravity Coupled to Matter
53. Topological Field Theory
54. BRST Quantization of Topological Field Theories
55. Off-Shell BRST Quantization of Reducible Gauge Theories
56. Antisymmetric Tensor Gauge Theory
57. A New Method for the Treatment of Longitudinal and Scalar Photons
58. The Off-Shell Koba-Nielsen Formula
59. Off-Shell Conformai Field Theory at the One-Loop Level
60. String Field Theory in the Siegel Gauge
61. Gauge Fixing for the Field Theory of the Bosonic String
62. Some Remarks on BRST Transformations, Anomalies and the Cohomology of the Lie Algebra of the Group of Gauge Transformations
63. Sur la Cohomologie des Espaces Fibres Principaux et Espaces Homogenes de Groupes de Lie Compacts
64. BRST Analysis of Physical States for 2-d Gravity Coupled to c ≤ 1 Matter
65. Semi-infinite Cohomology of W Algebras
66. Batalin-Vilkovisky Lagrangian Quantization of the Chiral Schwinger Model
67. The Wess-Zumino Term in the Field-Antifield Formalism
68. BRST Quantization of the Chiral Schwinger Model in the Extended Field-Antifield Space
69. Antifield Dependence of Anomalies
70. Local Supersymmetry for Spinning Panicles
71. Gauge Fixing and Renormalization in Topological Quantum Field Theory
72. Spontaneous Dynamical Breaking of Gauge Symmetry in Dual Models
73. The Vertex Function in Witten's Formulation of String Field Theory
74. Slavnov Transformations and Supersymmetry
75. An Alternative Approach to the Proof of Unitarity for Gauge Theories
76. Odd Time Formulation of the Batalin-Vilkovisky Method of Quantization
77. 3 Topological Gravity
78. Quantization and Unitarity in Antisymmetric Tensor Gauge Theories
79. 3 to All Orders
80. The Batalin-Vilkovisky Lagrangian Quantization Scheme: With Applications to the Study of Anomalies in Gauge Theories
81. Schwinger-Dyson BRST Symmetry and the Equivalence of Hamiltonian and Lagrangian Quantisation
82. Hiding Anomalies
83. The Regularized BRST Jacobian of Pure Yang-Mills Theory
84. Construction of Topological Field Theories Using the Batalin-Vilkovisky Quantization Scheme
85. Higher Rank Representations of Lower Spin
86. Covariant Quantization of Gauge Theories with Open Algebra
87. Dynamical Theory of Groups and Fields
88. Quantum Theory of Gravity I The Canonical Theory
89. Quantum Theory of Gravity II The Manifestly Covariant Theory
90. Quantum Theory of Gravity III Applications of the Covariant Theory
91. The Spacetime Approach to Quantum Field Theory
92. The Nonabelian Antisymmetric Tensor Field Revisited
93. Understanding Fujikawa Regulators from Pauli-Villars Regularization of Ghost Loops
94. Cohomology and Renormalization of Gauge Theories I,II,III,IV
95. An Application of Gauge Theory to the Topology of Four Manifolds
96. Polynomial Invariants of Smooth Four-Manifolds
97. Equivalence of the Hamiltonian and Lagrangian Path Integrals for Gauge Theories
98. Some Results on Local Cohomologies in Field Theory
99. Analysis of the Consistency Equations in Gauge Theory
100. The S-Matrix in Quantum Electrodynamics
101. Gravitation Gauge Theories and Differential Geometry
102. Operator Anomaly for the Gauss Law
103. Feynman Diagrams for the Yang-Mills Field
104. Algebraic and Hamiltonian Methods in the Theory of Non-Abelian Anomalies
105. Realization of the Schwinger Term in the Gauss Law and the Possibility of Correct Quantization of a Theory with Anomalies
106. Quantum Theory of Gravitation
107. On the Batalin-Vilkovisky Antibracket-Antifield BRST Formalism and Its Applications
108. The Antifield-Antibracket Formalism for Constrained Hamiltonian Systems
109. Homological Perturbation Theory and the Algebraic Structure of the Antifield-Antibracket Formalism for Gauge Theories
110. Existence, Uniqueness and Cohomology of the Classical BRST Charge with Ghosts for Ghosts
111. Quantization of Relativistic Systems with Boson and Fermion First-and Second-Class Constraints
112. Quantization of Relativistic Systems with Constraints
113. Unitarity of S-Matrix in Gravidynamics and General Covariance in Quantum Domain
114. The Nonplanar One-Loop Amplitude in Witten's String Field Theory
115. Antisymmetric Tensor Gauge Theories and Non-Linear σ-Models
116. Properties of Supergravity Theory
117. Progress Toward a Theory of Supergravity
118. Semi-Infinite Cohomology and String Theory
119. Quantization of Non-Abelian Antisymmetric Tensor Field
120. Physical Subspace Norm in Hamiltonian BRST-Quantization
121. Construction of the Effective Action for General Gauge Theories Via Unitarity
122. Lagrangian BRST Quantization and Unitarity
123. Path-Integral Measure for Gauge-Invariant Fermion Theories
124. Path Integral for Gauge Theories with Fermions
125. Path Integral of Relativistic Strings
126. BRS Current and Related Anomalies in Two Dimensional Gravity and String Theories
127. Lorentz-Covariant Quantization of the Heterotic Superstring
128. The Cohomology Structure of an Associative Ring
129. On the Deformation of Rings and Algebras
130. Batalin-Vilkovisky Algebras and Two-Dimensional Topological Field Theories
131. The Veneziano Amplitude from Interacting String Field Theory
132. Partial Symmetries of Weak Interactions
133. Unitarity and the Field-Antifield Formalism
134. Field-Antifield Formalism for Anomalous Gauge Theories
135. Perturbation Theory and Locality in the Field-Antifield Formalism
136. Anomalies and Wess-Zumino Terms in an Extended Regularized Field-Antifield Formalism
137. Anomalous Gauge Theories Within the Field-Antifield Formalism
138. BRST and Anti-BRST Symmetries for the Spinning Particle
139. BRST Structures of the Spinning String
140. The Anti-BRST Symmetry in the Field-Antifield Formalism
141. Relativistic Quantum Mechanics of One Dimensional Mechanical Continuum as Subsidiary Condition of Dual Resonance Model
142. Covariant Quantum Mechanics of the Superstring
143. Equivalence of Lagrangian and Hamiltonian BRST Quantizations: Systems with First Class Constraints
144. Equivalence of Lagrangian and Hamiltonian BRST Quantizations the General Case
145. Operator Formulation of Interacting String Field Theory (I)
146. Operator Formulation of Interacting String Field Theory (II)
147. Theory of Longitudinal Photons in Quantum Electrodynamics
148. On the Path-Integral Quantization of Anomalous Gauge Theories
149. Construction of the Quantum Action for Path Integral Quantization of String Field Theory
150. “Theory of Theories” Approach to String Theory
151. Skew-Symmetric Tensor Gauge Field Theory Dynamically Realized in the QCD U(1) Channel
152. Developing the Covariant Batalin-Vilkovisky Approach to String Field Theory
153. Hamiltonian Form of the Path Integral for Theories with a Gauge Freedom
154. On the Algebraic Structure of the BRST Symmetry
155. Lectures on the Antifield-BRST Formalism for Gauge Theories
156. Elimination of the Auxiliary Fields in the Antifield Formalism
157. Spacetime Locality of the BRST Formalism
158. Geometric Interpretation of the Quantum Master Equation in the BRST Anti-BRST Formalism
159. Remarks on the Renormalization of Gauge Invariant Operators in Yang-Mills Theory
160. ∞ in Two Dimensional Topological String Theory
161. Anomalies and Renormalization in the BRST-BV Framework
162. The BRST and Anti-BRST Invariant Quantization of General Gauge Theories
163. Matter-Dependent W-Gravity Anomalies of Non-Linearly Realised Symmetries
164. W Gravity Anomalies with Ghost Loops and Background Charges
165. Covariant Quantization of the String in Dimensions D ≤ 26 Using a Becchi-Rouet-Stora Formulation
166. Extended Form Method of Antifield BRST Formalism for Topological Quantum Field Theories
167. Vector-Meson Mass Generation by Chiral Anomalies
168. Gauge Theory of Renormalization of Gauge Invariant Operators
169. Geometrical Derivation of String Field Theory from First Principles: Closed Strings and Modular Invariance
170. Nonpolynomial Closed-String Field Theory
171. Modular Invariant Closed String Field Theory
172. Classical Direct Interstring Action
173. Modified Rules in Supergravity
174. Super-Poincaré Covariant Quantized GS Heterotic String as a Free Conformai Theory
175. Covariant Quantization of String Based on BRS Invariance
176. Geometry of Superspace with Even and Odd Brackets
177. On the Geometry of the Batalin-Vilkovisky Formalism
178. Lorentz Invariance and the Gravitational Field
179. Antisymmetric Tensor Gauge Field in General Covariant Gauges
180. Quantum Theory of Antisymmetric Higher Rank Tensor Gauge Field in Higher Rank Dimensional Space-Time
181. Sur un Type d'Algébres Différentielles en Raport avec la Transgression
182. Non-Polynomial Closed String Field Theory
183. Manifestly Covariant Canonical Formalism of Yang-Mills Theories, Physical State Subsidiary Conditions and Physical S-Matrix Unitarity
184. Local Covariant Operator Formalism of Non-Abelian Gauge Theories and Quark Confinement Problem
185. Nonpolynomial Closed String Field Theory Action and Gauge Invariance
186. General Procedure of Gauge Fixing Based on BRS Invariance Principle
187. A Gauge Invariant Action in Topological Quantum Field Theory
188. Effective Action in Gauge Theories of a General Form
189. Gauge Theories
190. Introduction to the Theory of Supermanifolds
191. New Perspectives on the BRST-Algebraic Structure of String Theory
192. Lorentz-Covariant Quantization of the Superparticle
193. Gauge-Fixing Redundant Symmetries in the Superparticle
194. Renormalization and Finiteness of Topological BF Theories
195. Non-Commutative Geometry and the Closed Bosonic String
196. Perturbation Theory for Antisymmetric Tensor Fields in Four-Dimensions
197. General State Spaces for BRST Quantizations
198. Canonical BRST Quantization of World Sheet Gravities
199. Covariant Operator Formalism of Gauge Theories and Quantum Gravity
200. Strings, Lattice Gauge Theory, High Energy Phenomenology
201. On Geometry of Supermanifolds with Odd and Even Kahlerian Structures
202. Ghost Counting in Supergravity
203. BRS Invariance of Supergravity in a Gauge Involving an Extra Ghost
204. Field-Antifield and BFV Formalisms for Quadratic Systems with Open Gauge Algebras
205. Another BRS Transformation
206. BV Analysis for Covariant and Noncovariant Actions
207. Unitarity and Batalin-Vilkovisky Path Integral Quantization for Gauge Theories
208. Local BRST Symmetry and the Geometry of Gauge-Fixing
209. Anomalies i Unitarietat en el Formalisme de Camps i Anticamps
210. Faddeev-Popov Method for Anomalous Quasigroups
211. Generalized Veneziano Model with Isospin
212. On Some Algebraic Structure Arising in String Theory
213. Quantum Geometry of Bosonic Strings
214. Covariant Superparticle Quantization in a Super Maxwell Background
215. Closed String Theory from Polyhedra
216. The Physical and Ghost Vertices in Witten's String Field Theory
217. Introduction to String Field Theory
218. Mathematical Formulation of Witten's Superstring Field Theory
219. Covariant Off-Shell String Amplitudes
220. Off-Shell String Physics from Conformal Field Theory
221. Solving the Open Bosonic String in Perturbation Theory
222. Geometry of Batalin-Vilkovisky Quantization
223. Semiclassical Approximation in Batalin-Vilkovisky Formalism
224. Superstring Theory
225. On the Green's Function of Quantized Fields I
226. On the Green's Function of Quantized Fields II
227. A Note on Background (In-) dependence
228. On the Background Independence of String Field Theory
229. On the Background Independence of String Field Theory II. Analysis of On-shell S-Matrix Elements
230. On the Background Independence of String Field Theory III. Explicit Field Redefinitions
231. A Proof of Local Background Independence of Classical Closed String Field Theory
232. Quantum Background Independence of Closed String Field Theory
233. A Note on Gauge Transformations in Batalin-Vilkovisky Theory
234. Aspects of Kappa Symmetry
235. Hidden Ghosts
236. Covariantly Second-Quantized String
237. Covariantly Second-Quantized String II
238. Covariantly Second-Quantized String III
239. Batalin-Vilkovisky from Hamiltonian BRST
240. Relation Between Batalin-Vilkovisky and First Quantized Style BRST
241. Lorentz Covariant Gauges for Green-Schwarz Superstrings
242. Ward Identities in Gauge Theories
243. Physical Unitarity in the BRST Approach
244. BRST-Quantization and Unitarity
245. Soft Gauge Algebras
246. Closed String Field Theory, Strong Homotopy Lie Algebras and the Operad Actions of Moduli Space
247. Unitarity, Ward Identities, and New Quantization Rules of Supergravity
248. On the Generalized Ward Identity
249. Homology of Noetherian Rings and Local Rings
250. Ward Identities and Charge Renormalization of the Yang-Mills Field
251. BRS Structure of the Antisymmetric Tensor Gauge Theories
252. Renormalization of Massless Yang-Mills Fields
253. Renormalizable Lagrangians for Massive Yang-Mills Fields
254. Diagrammar
255. Perturbation Theory for Quantized String Fields
256. String Field Theory
257. Covariant Quantization and Anomalies of the G-S Heterotic σ-Model
258. Dimensional Regularization and Anomalies in Chiral Gauge Theories, talk presented at Topical Workshop on Nonperturbative Aspect of Chiral Gauge Theories
259. Gauge Invariance for Spin 1/2
260. Anomalies and the Batalin-Vilkovisky Lagrangian Formalism
261. Regularization and the BV Formalism
262. Gauge Invariance in Field Theory and Statistical Mechanics
263. BRST Operator and Open Algebra
264. Invariant Theoretical Interpretation of Interaction
265. 3 Gravity
266. Supergravity
267. Batalin-Vilkovisky Lagrangian Quantization
268. “Gauge” Form of Description of Massless Fields With Arbitrary Spin
269. The Master Equation of String Theory
270. Canonical Transformations and Gauge Dependence in General Gauge Theories
271. Formulation of Gauge Theories of General Form. I
272. Formulation of Gauge Theories of General Form II Gauge-Invariant Renormalizability and Renormalization Structure
273. An Identity in Quantum Electrodynamics
274. A Model of Leptons
275. Consequences of Anomalous Ward Identities
276. Anomaly Consistency Conditions to All Orders
277. Non-Commutative Geometry and String Field Theory
278. Open Superstrings
279. Topological Quantum Field Theory
280. A Note on the Antibracket Formalism
281. On Background Independent Open String Field Theory
282. Some Computations in Background Independent Off-Shell String Field Theory
283. Considerations of Isotopic Spin and Isotopic Gauge Invariance
284. Renormalization of Gauge Theories
285. Chiral Anomalies and Differential Geometry
286. Quantum Closed Strings from Minimal Area
287. Consistency of Closed String Polyhedra from Minimal Area
288. How Covariant Closed String Theory Solves a Minimal Area Problem
289. Closed String Field Theory: An Introduction
290. Closed String Field Theory: Quantum Action and the B-V Master Equation