Operators, Geometry and Quanta [recurso electrónico] : Methods of Spectral Geometry in Quantum Field Theory / by Dmitri Fursaev, Dmitri Vassilevich.

Por: Fursaev, Dmitri [author.]Colaborador(es): Vassilevich, Dmitri [author.] | SpringerLink (Online service)Tipo de material: TextoTextoSeries Theoretical and Mathematical PhysicsEditor: Dordrecht : Springer Netherlands, 2011Descripción: XVI, 288 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9789400702059Tema(s): Physics | Global analysis | Mathematical physics | Physics | Mathematical Methods in Physics | Global Analysis and Analysis on Manifolds | Quantum Field Theories, String TheoryFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 530.15 Clasificación LoC:QC5.53Recursos en línea: Libro electrónicoTexto
Contenidos:
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.
En: Springer eBooksResumen: 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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Tipo de ítem Biblioteca actual Colección Signatura Copia número Estado Fecha de vencimiento Código de barras
Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos QC5.53 (Browse shelf(Abre debajo)) 1 No para préstamo 378251-2001

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.

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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