Kasia Rejzner

eBook, PDF

Perturbative Algebraic Quantum Field Theory (eBook, PDF)

An Introduction for Mathematicians

Beschreibung

Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn't require the use of divergent quantities. We discuss in detail the examples of scalar fields and gauge theories and generalize them to QFT on curved spacetimes.

pQFT models describe a wide range of physical phenomena and have remarkable agreement with experimental results. Despite this success, the theory suffers from many conceptual problems. pAQFT is a good candidate to solve many, if not all of these conceptual problems.

Chapters 1-3 provide some background in mathematics and physics. Chapter 4 concerns classical theory of the scalar field, which is subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge theory and chapter 8 discusses QFT on curved spacetimes and effective quantum gravity.

The book aims to beaccessible researchers and graduate students interested in the mathematical foundations of pQFT are the intended audience.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 2.43MB

Barrierefreiheit

• Text-to-Speech

Produktdetails

• Verlag: Springer Nature Switzerland
• Seitenzahl: 180
• Erscheinungstermin: 16. März 2016
• Englisch
• ISBN-13: 9783319259017
• Artikelnr.: 44902380

Rezensionen

"The author, who claims to be both a physicist and a mathematician, offers a useful and fascinating book which should be of interest and useful to professional mathematicians and students of both mathematics and physics. It is dedicated to prominent mathematical physicists who passed away recently: Rudolf Haag, Daniel Kastler, Uffe Haagerup, Raymond Stora, and John Roberts ... . The book intends to be pedagogical and self-contained. It establishes the mathematical foundation of perturbation theory in a convincing manner." (Gert Roepstorff, zbMATH 1347.81011, 2016)