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...
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2011. |
| Serier: | Theoretical and Mathematical Physics
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| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| 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 |
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| 245 | 1 | 0 | |a Operators, geometry and quanta : |b Methods of spectral geometry in quantum field theory |c Dmitri Fursaev, Dmitri Vasillevich. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Dordrecht : |b Springer Netherlands. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Theoretical and Mathematical Physics |x 1864-5887 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Opérateurs différentiels | ||
| 650 | |a Géométrie spectrale | ||
| 650 | |a Théorie quantique | ||
| 700 | 1 | |a Vassilevich, Dmitri, |d 19..- |4 aut | |
| 776 | 0 | |0 155606654 |t Operators, geometry and quanta |o Methods of spectral geometry in quantum field theory |f Dmitri Fursaev, Dmitri Vasillevich |d 2011 |c Doredrecht |n Springer |p 1 vol. (XVI-286 p.) |s Theoretical and mathematical physics |z 978-94-0070204-2 | |
| 776 | 0 | |t Operators, Geometry and Quanta |b Texte imprimé |z 9789400736634 | |
| 776 | 0 | |t Operators, Geometry and Quanta |b Texte imprimé |z 9789400702066 | |
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