Theory of Interacting Quantum Fields

ISBN-13: 9783110250626 / Angielski / Twarda / 2012 / 588 str.

Alexei L. Rebenko; Peter V. Malyshev

Opis

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 regardto the new methods of the constructive and Euclidean field theory formed for the last thirty years of the 20^th 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."

Recenzje

"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

Spis treści

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

O autorze

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