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Preface | 1 | |
I | Goals and Perspectives | 3 |
II | Global Conformal Symmetry and Hilbert Space | 45 |
III | Euclidean Formulation of the Conformal Theory | 99 |
IV | Approximate Methods of Calculating Critical Indices | 143 |
V | Spontaneous Breakdown of Conformal Symmetry | 163 |
VI | Ward Identities | 171 |
VII | Contribution of Electromagnetic and Gravitational Interactions into the General Solution of Ward Identities | 205 |
VIII | Dynamical Sector of the Hilbert Space | 241 |
IX | Conformal Invariance in Gauge Theories | 317 |
X | Special Features of Conformal Transformation of Current, Energy-Momentum Tensor and Gauge Fields | 347 |
App. I | Casimir Operators and Irreducible Representations of Conformal Group of 4-Dimensional Minkowski Space | 373 |
App. II | Fourier Transforms of Euclidean and Minkowski Spaces Invariant Functions | 379 |
App. III | Calculation of Euclidean Quasilocal Invariant Three-point Functions | 383 |
App. IV | An Invariance Under Subgroup SO(D-1,2) and SO(D) x SO(2) | 386 |
App. V | The Derivation of the Anomalous Ward Identities for Green Functions [actual symbol not reproducible] | 390 |
App. VI | Explicit Form of Invariant Green Functions [actual symbol not reproducible] | 398 |
App. VII | Partial Wave Expansion of Current Green Functions | 403 |
App. VIII | Explicit Form of the Invariant Green Function [actual symbol not reproducible] for s = 2 and the Anomalous Ward Identity | 411 |
App. IX | Partial Wave Expansion of the Energy-Momentum Tensor Green functions | 414 |
App. X | Basic Integral Relations | 432 |
App. XI | Calculation of Green Functions [actual symbol not reproducible] in Two Dimensional Space | 437 |
App. XII | Calculation of Integrals in Two-Dimensional Space | 444 |
Bibliography | 451 | |
Index | 458 |
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