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Theory of Interacting Quantum Fields

Alexei L. Rebenko (Autor)

Buch | Hardcover

XX, 568 Seiten

2012
De Gruyter (Verlag)
978-3-11-025062-6 (ISBN)

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The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

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.

Alexei L. Rebenko, Department of Mathematics,National Academy of Sciences of Ukraine, Kiev, Ukraine.

Preface
List of Notation
Introduction
Chapter I Group of Symmetry of Elementary Particles
Chapter II Classical Theory of the Free Fields
Chapter III Classical Theory of the Interacting Fields
Chapter IV Second Quantization of Fields
Chapter V Quantum Theory of Interacting Fields. General Problems
Chapter VI Axiomatic and Euclidean Field Theory
Chapter VII Quantum Theory of Gauge Fields
Instructions to Problems of Chapters I to VII
References
Index

"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 Reviews

"This 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

Erscheint lt. Verlag	14.6.2012
Reihe/Serie	De Gruyter Studies in Mathematics ; 39
Übersetzer	Peter V. Malyshev
Zusatzinfo	30 b/w ill., 1 b/w tbl.
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	1112 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Bernstein Function • Bernstein Function; Semigroup; Operator Theory; Probability Measure; Monotonic Function • Bernstein-Funktion • Halbgruppe • Monotone Funktion • Monotonic Function • Operatortheorie • operator theory • probability measure • Semigroup • Wahrscheinlichkeitsmaß
ISBN-10	3-11-025062-4 / 3110250624
ISBN-13	978-3-11-025062-6 / 9783110250626
Zustand	Neuware