Harmonic Analysis - On the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory. (= Lecture Notes in Physics, Band 63).

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

ISBN 10: 354008150X / ISBN 13: 9783540081500

Published by Berrlin, Springer, 1977

About this Item

x, 280 Seiten Einband etwas berieben, Bibl.Ex., sonst guter und sauberer Zustand 9783540081500 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 126613

Bibliographic Details

• Title: Harmonic Analysis - On the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory. (= Lecture Notes in Physics, Band 63).
• Publisher: Berrlin, Springer
• Publication Date: 1977
• Language: English
• ISBN 10: 354008150X
• ISBN 13: 9783540081500
• Binding: 8° , Softcover/Paperback
• Edition: 1.Auflage,.
• Weight: 550 grams
• Seller catalogs:
  • Naturwissenschaft, Physik

About this title

Synopsis

1. Group structure. Preliminaries.- 2. Induced representations. Definition and various realizations.- 3. Further properties of the elementary representations.- 4. Intertwining 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.