Operators, Geometry and Quanta: Methods of Spectral Geometry in Quantum Field Theory (Theoretical and Mathematical Physics) - Hardcover

Buch 13 von 43: Theoretical and Mathematical Physics

Fursaev, Dmitri; Vassilevich, Dmitri

 
9789400702042: Operators, Geometry and Quanta: Methods of Spectral Geometry in Quantum Field Theory (Theoretical and Mathematical Physics)
Hardcover
ISBN 10: 9400702043 ISBN 13: 9789400702042
Verlag: Springer, 2011

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

The authors D. Vassilevich and D. Fursaev are acknowledged experts in spectral geometry and quantum gravity. D. Fursaev has published more than 60 articles in high profile science journals, and he was appointed the rector of Dubna International University in 2008. D. Vassilevich is a professor for mathematical physics at the Universidade Federal do ABC, Santo Andre (Brazil). He published more than 100 articles in scientific journals and is author of the book "”Fundamental Interactions - A Memorial Volume for Wolfgang Kummer" (2009).

Von der hinteren Coverseite

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-temperature field theory, D-branes, quantum solitons and noncommutativity. In the first part of the book, necessary background information on differential geometry and quantization, including less standard material, is collected. The second part of the book contains a detailed description of main spectral functions and methods of their calculation. In the third part, the theory is applied to several examples (D-branes, quantum solitons, anomalies, noncommutativity). More than hundred exercises together with their solutions are included. This book addresses advanced graduate students and researchers in mathematical physics and in neighbouring areas with basic knowledge of quantum field theory and differential geometry. The aim is to prepare readers to use spectral functions in their own research, in particular in relation to heat kernels and zeta functions.

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Verlag
Springer
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
9400702043
ISBN 13 
9789400702042
Einband
Tapa dura
Anzahl der Seiten
304
Kontakt zum Hersteller
Nicht verfügbar
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Weitere beliebte Ausgaben desselben Titels

9789400736634: Operators, Geometry and Quanta: Methods of Spectral Geometry in Quantum Field Theory (Theoretical and Mathematical Physics)

Vorgestellte Ausgabe

ISBN 10:  9400736630 ISBN 13:  9789400736634
Verlag: Springer, 2013
Softcover