Operators, Geometry and Quanta by Dmitri Fursaev

Operators, Geometry and Quanta by Dmitri Fursaev

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.

From the reviews:

“The authors have tried to make the book as self-contained as possible with the declared purpose that it should be useful for both active researchers and graduate studentsThe inclusion in the book of more than a hundred exercises with their solutions makes it indeed possible to use the material in it for lecture courses on physical applications of the spectral theory. … This is a good book, unique in several ways, clearly written … and also a very useful reference for practical purposes.” (Emili Elizalde, Mathematical Reviews, Issue 2012 f)

“This book represents an introduction into the theory of spectral functions and their applications to quantum field theory (QFT). … more than a hundred exercises with their solutions help the reader to understand better the topic and makes possible the use of this book in lecture courses on physical applications of the spectral theory. … Noncommutative theories are a beautiful example of how physics and mathematics have a mutual influence. Each chapter contains exercises, which are integer part of the book.” (Marian Ioan Munteanu, Zentralblatt MATH, Vol. 1230, 2012)

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).

SKU	Unavailable
ISBN 13	9789400736634
ISBN 10	9400736630
Title	Operators, Geometry and Quanta
Author	Dmitri Fursaev
Series	Theoretical And Mathematical Physics
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer
Year published	2013-08-02
Number of pages	288
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable