Conformal Description of Spinning Particles

Language: English

Published by Springer, Springer Sep 1986, 1986

3540168907 / 9783540168904

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This item is printed on demand - Print on Demand Titel. Neuware -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 $$ overline {ext{M}} $$.- 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 $$ overline {{ext{CM}}} Leftrightarrow {{ext{F}}_2} $$ 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 theLie 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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 84 pp. Englisch.…

Seller Inventory # 9783540168904

Title
Conformal Description of Spinning Particles
Author
Ivan T. Todorov
Publisher
Springer, Springer Sep 1986
Publication year
1986
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540168907
ISBN 13
9783540168904
Item weight
162 grams
Dimensions
244x170x6 mm

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