From Classical Field Theory to Perturbative Quantum Field Theory

✍ Scribed by Michael Dütsch

Publisher: Springer International Publishing;Birkhäuser
Year: 2019
Tongue: English
Leaves: 553
Series: Progress in Mathematical Physics 74
Edition: 1st ed.
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-xxi
Classical Field Theory (Michael Dütsch)....Pages 3-43
Deformation Quantization of the Free Theory (Michael Dütsch)....Pages 45-69
Perturbative Quantum Field Theory (Michael Dütsch)....Pages 71-298
Symmetries – the Master Ward Identity (Michael Dütsch)....Pages 299-348
Quantum Electrodynamics (Michael Dütsch)....Pages 349-461
Back Matter ....Pages 463-538

✦ Subjects

Mathematics; Number Theory; Quantum Computing; Differential Geometry; Partial Differential Equations

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