This book gives a detailed and selfcontained 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 finitetemperature field theory, Dbranes, 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 (Dbranes, 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.
About Dmitri Fursaev
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).Details Book
Author  :  Dmitri Fursaev 
Publisher  :  Springer 
Data Published  :  26 June 2011 
ISBN  :  9400702043 
EAN  :  9789400702042 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  304 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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