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Operators, Geometry and Quanta: Methods of Spectral Geometry in Quantum Field Theory (Theoretical and Mathematical Physics) - Hardcover
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).
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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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- VerlagSpringer
- Erscheinungsdatum2011
- ISBN 10 9400702043
- ISBN 13 9789400702042
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten304
- Kontakt zum HerstellerNicht verfügbar
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Operators, Geometry and Quanta
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Operators, Geometry and Quanta : Methods of Spectral Geometry in Quantum Field Theory
Verlag:
Springer Netherlands, Springer Netherlands, 2011
ISBN 10: 9400702043
ISBN 13: 9789400702042
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9789400702042
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Operators, Geometry and Quanta: Methods of Spectral Geometry in Quantum Field Theory
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Hardcover. Zustand: Brand New. 1st edition. 330 pages. 9.45x6.38x0.87 inches. In Stock. Artikel-Nr. x-9400702043
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