From Classical Field Theory to Perturbative Quantum Field Theory

Author:   Michael Dütsch
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2019
Volume:   74
ISBN:  

9783030047375


Pages:   536
Publication Date:   27 March 2019
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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From Classical Field Theory to Perturbative Quantum Field Theory


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Overview

This book develops a novel approach to perturbative quantum field theory: starting with a perturbative formulation of classical field theory, quantization is achieved by means of deformation quantization of the underlying free theory and by applying the principle that as much of the classical structure as possible should be maintained. The resulting formulation of perturbative quantum field theory is a version of the Epstein-Glaser renormalization that is conceptually clear, mathematically rigorous and pragmatically useful for physicists. The connection to traditional formulations of perturbative quantum field theory is also elaborated on, and the formalism is illustrated in a wealth of examples and exercises.

Full Product Details

Author:   Michael Dütsch
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2019
Volume:   74
Weight:   0.998kg
ISBN:  

9783030047375


ISBN 10:   3030047377
Pages:   536
Publication Date:   27 March 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Classical field theory.- Deformation quantization of the free theory.- Perturbative quantum field theory.- Symmetries - the Master Ward Identity.- Quantum electrodynamics.

Reviews

This book is a wonderful piece of scholarship, aimed at an audience of serious and correspondingly well-prepared mathematical physicists, or even mathematicians interested in this marvelous material and willing to play the long game. (Michael Berg, MAA Reviews, September 15, 2019)


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