Sergio A. Albeverio, Sergio Scarlatti, Sylvie Paycha

A Mathematical Introduction to String Theory

Variational Problems, Geometric and Probabilistic Methods

• Broschiertes Buch

Produktbeschreibung

In this lecture note the authors give an introduction to certain global analytic and probabilistic aspects of string theory. It is their intention to bring together, and make explicit, the necessary mathematical tools. Researchers with an interest in string theory, in either mathematics or theoretical physics, will find this a stimulating volume.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 144
• Erscheinungstermin: 19. März 1996
• Englisch
• Abmessung: 229mm x 152mm x 8mm
• Gewicht: 220g
• ISBN-13: 9780521556101
• ISBN-10: 0521556104
• Artikelnr.: 21846963

Inhaltsangabe

Part I. 1. Introduction
2. Topological and metric structures
3. Harmonic maps and global structures
4. Cauchy Riemann operators
5. Zeta function and heat kernel determinants
6. The Faddeev-Popov procedure
7. Determinant bundles
8. Chern classes of determinant bundles
9. Gaussian meaures and random fields
10. Functional quantization of the Høegh-Krohn and Liouville model on a compact surface
11. Small time asymptotics for heat-kernel regularized determinants
Part II. 1. Quantization by functional integrals
2. The Polyakov measure
3. Formal Lebesgue measures
4. Gaussian integration
5. The Faddeev-Popov procedure for bosonic strings
6. The Polyakov measure in non-critical dimension
7. The Polyakov measure in critical dimension d=26
8. Correlation functions.