Operators, Geometry and Quanta: Methods of Spectral Geometry in Quantum Field Theory - Couverture souple

Fursaev, Dmitri; Vassilevich, Dmitri

 
9789400736634: Operators, Geometry and Quanta: Methods of Spectral Geometry in Quantum Field Theory

Synopsis

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). This book addresses advanced graduate students and researchers in mathematical physics 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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À propos de l?auteur

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).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9789400702042: Operators, Geometry and Quanta: Methods of Spectral Geometry in Quantum Field Theory

Edition présentée

ISBN 10 :  9400702043 ISBN 13 :  9789400702042
Editeur : Springer, 2011
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