Harmonic Analysis

On the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory
Buch | Softcover
X, 283 Seiten
1977 | 1977
Springer Berlin (Verlag)
978-3-540-08150-0 (ISBN)

Lese- und Medienproben

Harmonic Analysis - V. K. Dobrev, G. MacK, V. B. Petkova, S. G. Petrova, I. T. Todorov
90,94 inkl. MwSt

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.

Erscheint lt. Verlag 1.4.1977
Reihe/Serie Lecture Notes in Physics
Zusatzinfo X, 283 p.
Verlagsort Berlin
Sprache englisch
Maße 170 x 244 mm
Gewicht 514 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Naturwissenschaften Physik / Astronomie Hochenergiephysik / Teilchenphysik
Naturwissenschaften Physik / Astronomie Mechanik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Naturwissenschaften Physik / Astronomie Thermodynamik
Schlagworte Analysis • Group • Harmonic Analysis • Minkowski spacetime • quantum field • quantum field theory • Wave
ISBN-10 3-540-08150-X / 354008150X
ISBN-13 978-3-540-08150-0 / 9783540081500
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