Quantum Field Theory and Functional Integrals

Beschreibung

Described here is Feynman's path integral approach to quantum mechanics and quantum field theory from a functional integral point of view. Therein lies the main focus of Euclidean field theory. The notion of Gaussian measure and the construction of the Wiener measure are covered. As well, the notion of classical mechanics and the Schrödinger picture of quantum mechanics are recalled. There, the equivalence to the path integral formalism is shown by deriving the quantum mechanical propagator from it. Additionally, an introduction to elements of constructive quantum field theory is provided for readers. 
Gives a compact guide to the mathematical structure of quantum field theory Explains concisely the relation of the Schrödinger picture of quantum mechanics with Feynman's path integral approach Includes a rigorous mathematical treatment of measure theoretic and probability aspects of the relevant object

Autor*in

Nima Moshayedi

Themen in »Quantum Field Theory and Functional Integrals«

QFT Schrödinger equation Path integral Constructive QFT Quantization

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“The present book is created on the basis of a lecture course of the author on quantum field theory and functional integrals at the University of Zurich. ... This book may be helpful as a reference manual for readers interested in quantum field theory since it contains a lot of useful information in a very compact form.” (Yana Kinderknecht, Mathematical Reviews, Issue 5, June, 2025)

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