Overview
- A novel approach to perturbative quantum field theory
- Approach is conceptually clear, mathematically rigorous and pragmatically useful for physicists
- Presents mathematically stimulating discussions and physically interesting formulations
Part of the book series: Progress in Mathematical Physics (PMP, volume 74)
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Table of contents (5 chapters)
Keywords
About this book
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.
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Bibliographic Information
Book Title: From Classical Field Theory to Perturbative Quantum Field Theory
Authors: Michael Dütsch
Series Title: Progress in Mathematical Physics
DOI: https://doi.org/10.1007/978-3-030-04738-2
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-04737-5Published: 27 March 2019
eBook ISBN: 978-3-030-04738-2Published: 18 March 2019
Series ISSN: 1544-9998
Series E-ISSN: 2197-1846
Edition Number: 1
Number of Pages: XXI, 536
Topics: Number Theory, Quantum Computing, Differential Geometry, Partial Differential Equations