A Mathematical Introduction to Spring Theory - Variational Problems, Geometric and Probabilistic

Klappentext 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. Zusammenfassung This book deals with the mathematical aspects of string theory. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: Sergio Albeverio, Sergio A. Albeverio, Jurgen Jost, Sylvie Paycha, Sergio Scarlatti
• Editore: Cambridge University Press Academic
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 31.07.1997
• EAN: 9780521556101
• ISBN: 978-0-521-55610-1
• Dimensioni: 152 mm x 228 mm x 8 mm
• Serie: London Mathematical Society Le
• Categorie: Libri scolastici > Didattica > Formazione professionale; Scienze naturali, medicina, informatica, tecnica > Matematica > Altro