Operators, Geometry and Quanta Methods of Spectral Geometry in Quantum Field Theory /

• Main Authors: Fursaev, Dmitri (Author), Vassilevich, Dmitri (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2011.
• Series: Theoretical and Mathematical Physics,
• Subjects: Physics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Quantum field theory.; String theory.; Mathematical Methods in Physics.; Global Analysis and Analysis on Manifolds.; Quantum Field Theories, String Theory.

This book gives a detailed and self-contained introduction into the theory of spectral functions, with an emphasis on their applications to quantum field theory. All methods are illustrated with applications to specific physical problems from the forefront of current research, such as finite-tempera...

Table of Contents:

• 1 Preface
• 2 Notation Index I The Basics: 3 Geometrical Background
• 4 Quantum fields II Spectral geometry: 5 Operators and their spectra
• 6 Spectral functions
• 7 Non-linear spectral problems
• 8 Anomalies and Index Theorem III Applications: 9 Effective action
• 10 Anomalies in quantum field theories
• 11 Vacuum energy
• 12 Open strings and Born-Infeld action
• 13 Noncommutative geometry and field theory IV Problem solving: 14 Solutions to exercises.