Harmonic Analysis [electronic resource] : On the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory / by V. K. Dobrev, G. Mack, V. B. Petkova, S. G. Petrova, I. T. Todorov.

Format:

Book

Author/Creator:

Dobrev, V. K., Author.

Mack, G., Author.

Petkova, V. B., Author.

Petrova, S. G., Author.

Todorov, I. T., Author.

Series:

Lecture Notes in Physics, 0075-8450 ; 63

Language:

English

Subjects (All):

Quantum field theory.

String models.

Acoustics.

Harmonic analysis.

Quantum Field Theories, String Theory.

Abstract Harmonic Analysis.

Local Subjects:

Quantum Field Theories, String Theory.

Acoustics.

Abstract Harmonic Analysis.

Physical Description:

1 online resource (X, 283 p.)

Edition:

1st ed. 1977.

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1977.

Contents:

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.

ISBN:

3-540-37381-0