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Conformal Quantum Field Theory In D-Dimensions Book

Conformal Quantum Field Theory In D-Dimensions
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  • Conformal Quantum Field Theory In D-Dimensions
  • Written by author Efim S. Fradkin
  • Published by Springer-Verlag New York, LLC, August 1996
  • This volume reviews recent developments in conformal quantum field theory in D-dimensions, and focuses on two main aims. Firstly, the promising trend is followed toward constructing an exact solution for a certain class of models. Work on the conform
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Preface1
IGoals and Perspectives3
IIGlobal Conformal Symmetry and Hilbert Space45
IIIEuclidean Formulation of the Conformal Theory99
IVApproximate Methods of Calculating Critical Indices143
VSpontaneous Breakdown of Conformal Symmetry163
VIWard Identities171
VIIContribution of Electromagnetic and Gravitational Interactions into the General Solution of Ward Identities205
VIIIDynamical Sector of the Hilbert Space241
IXConformal Invariance in Gauge Theories317
XSpecial Features of Conformal Transformation of Current, Energy-Momentum Tensor and Gauge Fields347
App. ICasimir Operators and Irreducible Representations of Conformal Group of 4-Dimensional Minkowski Space373
App. IIFourier Transforms of Euclidean and Minkowski Spaces Invariant Functions379
App. IIICalculation of Euclidean Quasilocal Invariant Three-point Functions383
App. IVAn Invariance Under Subgroup SO(D-1,2) and SO(D) x SO(2)386
App. VThe Derivation of the Anomalous Ward Identities for Green Functions [actual symbol not reproducible]390
App. VIExplicit Form of Invariant Green Functions [actual symbol not reproducible]398
App. VIIPartial Wave Expansion of Current Green Functions403
App. VIIIExplicit Form of the Invariant Green Function [actual symbol not reproducible] for s = 2 and the Anomalous Ward Identity411
App. IXPartial Wave Expansion of the Energy-Momentum Tensor Green functions414
App. XBasic Integral Relations432
App. XICalculation of Green Functions [actual symbol not reproducible] in Two Dimensional Space437
App. XIICalculation of Integrals in Two-Dimensional Space444
Bibliography451
Index458


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