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Operators, Geometry and Quanta: Methods of Spectral Geometry in Quantum Field Theory (Theoretical and Mathematical Physics) - Tapa dura
Sinopsis
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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Acerca del 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).
De la contraportada
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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- EditorialSpringer
- Año de publicación2011
- ISBN 10 9400702043
- ISBN 13 9789400702042
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas304
- Contacto del fabricanteno disponible
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Operators, Geometry and Quanta : Methods of Spectral Geometry in Quantum Field Theory
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Springer Netherlands, 2011
ISBN 10: 9400702043
ISBN 13: 9789400702042
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Operators, Geometry And Quanta: Methods Of Spectral Geometry In Quantum Field Theory (theoretical And Mathematical Physics)
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Operators, Geometry And Quanta: Methods Of Spectral Geometry In Quantum Field Theory (theoretical And Mathematical Physics)
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Operators, Geometry and Quanta: Methods of Spectral Geometry in Quantum Field Theory (Theoretical and Mathematical Physics)
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Operators, Geometry and Quanta
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Bridges the physical applications of heat kernel theories with the mathematical foundationsSome material, e.g. non-linear spectral problems, appears for the first time in a monograph formExamples from the forefront of current research (quan. Nº de ref. del artículo: 5825239
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Operators, Geometry and Quanta
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Operators, Geometry and Quanta
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Operators, Geometry and Quanta
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Springer Netherlands Jun 2011, 2011
ISBN 10: 9400702043
ISBN 13: 9789400702042
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 304 pp. Englisch. Nº de ref. del artículo: 9789400702042
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Operators, Geometry and Quanta
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Operators, Geometry and Quanta : Methods of Spectral Geometry in Quantum Field Theory
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Springer Netherlands, Springer Netherlands, 2011
ISBN 10: 9400702043
ISBN 13: 9789400702042
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Buch. Condición: 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. Nº de ref. del artículo: 9789400702042
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