Methods of Spectral Geometry in Quantum Field Theory
Fursaev, Dmitri, Vassilevich, Dmitri
330 p., 5 images, 1st edition
2011, XVI, 288 p.
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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 students. The 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)
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