Operators, geometry and quanta : Methods of spectral geometry in quantum field 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...

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Bibliographic Details
Main Authors: Fursaev, Dmitri, 19..-...., physicien, Vassilevich, Dmitri, 19..- (Author)
Format: Livre numérique
Language:Anglais
Published: Dordrecht : Springer Netherlands [20..].
Cham : Springer Nature
Edition:1st ed. 2011.
Series:Theoretical and Mathematical Physics
Subjects:
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Operators, geometry and quanta, Methods of spectral geometry in quantum field theory, Dmitri Fursaev, Dmitri Vasillevich, 2011, Doredrecht, Springer, 1 vol. (XVI-286 p.), Theoretical and mathematical physics, 978-94-0070204-2
• Operators, Geometry and Quanta, Texte imprimé, 9789400736634
• Operators, Geometry and Quanta, Texte imprimé, 9789400702066
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.