V. K. Dobrev, G. Mack, V. B. Petkova

Harmonic Analysis

On the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory

• Broschiertes Buch

Produktdetails

• Lecture Notes in Physics 63
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-08150-0
• 1977
• Seitenzahl: 296
• Erscheinungstermin: 1. April 1977
• Englisch
• Abmessung: 244mm x 170mm x 17mm
• Gewicht: 514g
• ISBN-13: 9783540081500
• ISBN-10: 354008150X
• Artikelnr.: 41211682

Inhaltsangabe

1. Group structure. Preliminaries.- 2. Induced representations. Definition and various realizations.- 3. Further properties of the elementary representations.- 4. Intertwining operators: X-space realization.- 5. Momentum space expansion of the intertwining distribution and positivity.- 6. Nondecomposable representations and intertwining differential operators.- 7. Discrete and general properties of the discrete series.- 8. The Plancheral theorem. Concluding remarks.- 9. The Kronecker product of two elementary representations.- 10. Construction of the Clebsch Gordan expansion.- 11. Special cases and further properties of the expansion formula.- 12. Renormalizable models of self-interacting scalar fields. Dynamical equations for Green functions.- 13. Invariance and invariant solutions of the dynamical equations. Conformal partial wave expansion for the Euclidean Green functions.- 14. Implications of the dynamical equations. Pole structure of conformal partial waves.- 15. Another form of the conformal expansion, involving a Minkowski momentum space integral. The Q-kernels.- 16. The problem of crossing symmetry. Concluding remarks.