Conformal Quantum Field Theory in D-Dimensions Book

Preface. I: Goals and Perspectives. II: Global Conformal Symmetry and Hilbert Space. III: Euclidean Formulation of the Conformal Theory. IV: Approximate Methods of Calculating Critical Indices. VI: Ward Identities. VII: Contribution of Electromagnetic and Gravitational Interactions into the General Solution of Ward Identities. VIII: Dynamical Sector of the Hilbert Space. IX: Conformal Invariance in Gauge Theories. X: Special Features of Conformal Transformation of Current, Energy-Momentum Tensor and Gauge Fields. Appendix I: Casimir Operators and Irreducible Representations of Conformal Group of 4-Dimensional Minkowski Space. Appendix II: Fourier Transforms of Euclidean and Minkowski Spaces Invariant Functions. Appendix III: Calculation of Euclidean Quasilocal Invariant Three-Point Functions. Appendix IV: An Invariance Under Subgroups SO(D-1,2) and SO(D) x SO(2). Appendix V: The Derivation of the Anomalous Ward Identities for Green Functions TmuνTrhosigmapsipsijmuTrhosigmapsipsiDAGGERAppendix VI: Explicit Form of Invariant Green Functions PspsijmuAppendix VII: Partial Wave Expansion of Current Green Functions. Appendix VIII: Explicit Form of the Invariant Green Function PspsiTmuνs=2 and the Anomalous Ward Identity. Appendix IX: Partial Wave Expansion of the Energy-Momentum Tensor Green Functions. Appendix X: Basic Integral Relations. Appendix XI: Calculation of Green Functions 〈(Psp ... p) (PspTμν) in Two Dimensional Space. Appendix XII: Calculation of Integrals in Two-Dimensional Space. Bibliography. Index.