Theory of Interacting Quantum Fields (De Gruyter Studies in Mathematics, 39) by Alexei L. Rebenko | (PDF) Free Download

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This monograph is devoted to the systematic and encyclopedic presentation of the foundations of quantum field theory. It represents mathematical problems of the quantum field theory with regard to the new methods of the constructive and Euclidean field theory formed for the last thirty years of the 20th century on the basis of rigorous mathematical tools of the functional analysis, the theory of operators, and the theory of generalized functions. The book is useful for young scientists who desire to understand not only the formal structure of the quantum field theory but also its basic concepts and connection with classical mechanics, relativistic classical field theory, quantum mechanics, group theory, and the theory of functional integration.

User’s Reviews

Editorial Reviews: Review Overall, it seems to me that it [the book] strives to strike a balance between mathematics and physics. It is well written, and the presentation and the discussion of the individual arguments are good. In my opinion, this is indeed an excellent reference book. If you want to pick some specific argument, look at the index; you will find it and (most importantly) you will understand it. […] The explanations are excellent: the teaching experience of the author is indubitable. […] All in all, it is a good book. Mathematical ReviewsThis self-contained, comprehensive monograph presents a careful modern introduction to the basic methods and applications of quantum field theory. […] This book should be useful as a reference for students and researchers alike with interests in QFT, particle physics, mathematics and related areas. Zentralblatt für Mathematik From the Back Cover This monograph is devoted to the systematic presentation of foundations of the quantum field theory. Unlike numerous monographs devoted to this topic, a wide range of problems covered in this book are accompanied by their sufficiently clear interpretations and applications. An important significant feature of this monograph is the desire of the author to present mathematical problems of the quantum field theory with regard to new methods of the constructive and Euclidean field theory that appeared in the last thirty years of the 20th century and are based on the rigorous mathematical apparatus of functional analysis, the theory of operators, and the theory of generalized functions.The monograph is useful for students, post-graduate students, and young scientists who desire to understand not only the formality of construction of the quantum field theory but also its essence and connection with the classical mechanics, relativistic classical field theory, quantum mechanics, group theory, and the theory of path integral formalism. About the Author Alexei L. Rebenko, Department of Mathematics,National Academy of Sciences of Ukraine, Kiev, Ukraine. Read more

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