Harmonic Analysis

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

von I. T. Todorov, G. Mack, V. K. Dobrev, S. G. Petrova, V. B. Petkova

296 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Komplexe Analysis, komplexe Variablen, Funktionentheorie
• ISBN: 9783540081500
• Sprache: Englisch
• Erscheinungsdatum: 01.04.1977
• Größe: 244 x 170 mm
• Verlag: Springer