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Conformal Description of Spinning Particles [electronic resource] / by Ivan T. Todorov

Author
Todorov, Ivan Todorov
Published
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1986.
Edition
1st ed. 1986.
Physical Description
VIII, 76 pages : online resource
Additional Creators
SpringerLink (Online service)
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Contents
A Guide to the List of References -- 1. The Conformal Group of a Conformally Flat Space Time and Its Twistor Representations -- 1.1 Conformal Classes of Pseudo-Riemannian Metrics -- 1.2 Connection and Curvature Forms - a Recapitulation. The Weyl Curvature Tensor -- 1.3 Global Conformal Transformations in Compactified Minkowski Space. Conformal Invariant Local Causal Order on $$ \overline {\text{M}} $$ -- 1.4 The Lie Algebra of the Conformal Group and Its Twistor Representations -- 2. Twistor Flag Manifolds and SU(2,2) Orbits -- 2.1 Seven Flag Manifolds in Twistor Space. Conformal Orbits in F1 =PT -- 2.2 Points of Compactified Space-Time as 2-Planes in Twistor Space -- 2.3 An Alternative Realization of the Isomorphism $$ \overline {{\text{CM}}} \Leftrightarrow {{\text{F}}_2} $$ SU(2,2) Orbits in the Grassmann Manifold -- 2.4 Higher Flag Manifolds -- 3. Classical Phase Space of Conformal Spinning Particles -- 3.1 The Conformal Orbits F1+ and F1? as Phase Spaces of Negative and Positive Helicity O-Mass Particles -- 3.2 Canonical Symplectic Structure on Twistor Space; a Unified Phase Space Picture for Free O-Mass Particles -- 3.3 The Phase Space of Spinless Positive Mass "Conformal Particles" -- 3.4 The 10-Dimensional Phase Space of a Timelike Spinning Particle -- 3.5 The 12-Dimensional Phase Space F1,2,3? -- 4. Twistor Description of Classical Zero Mass Fields -- 4.1 Quantization of a Zero Mass Particle System: The Ladder Representations of U(2,2) -- 4.2 Local Zero Mass Fields. Second Quantization -- 4.3 The Neutrino and the Photon Fields in the Twistor Picture -- 4.4 Remark on the Quantization of Higher-Dimensional Conformal Orbits -- Appendix A.Clifford Algebra Approach to Twistors. Relation to Dirac Spinors -- A.1 Clifford Algebra of O(6,?) and Bitwistor Representation of the Lie Algebra SO(6,?) -- A.2 The Homomorphism SL(4,?) ? SO(6,?). Inequivalent 4-Dimensional Analytic Representations of SL(4,?) -- A.3 Conformal Dirac Spinors -- References.
Subject(s)
ISBN
9783642828683
Digital File Characteristics
PDF
text file
Part Of
Springer Nature eBook
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