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Mathematical aspects of quantum field theory

Author: Edson de Faria; Welington de Melo
Publisher: New York : Cambridge University Press, 2010.
Series: Cambridge studies in advanced mathematics, 127.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
"Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from quantum field  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Faria, Edson de.
Mathematical aspects of quantum field theory.
New York : Cambridge University Press, 2010
(DLC) 2010012779
(OCoLC)606234551
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Edson de Faria; Welington de Melo
ISBN: 9780511918476 051191847X 9780511760532 0511760531 9781139635523 1139635522 0511916515 9780511916519
OCLC Number: 670430167
Description: 1 online resource (xiii, 298 pages) : illustrations.
Contents: Foreword / Dennis Sullivan --
1. Classical mechanics --
2. Quantum mechanics --
3. Relativity, the Lorentz group and Dirac's equation --
4. Fiber bundles, connections and representations --
5. Classical field theory --
6. Quantization of classical fields --
7. Perturbative quantum field theory --
8. Renormalization --
9. The standard model --
Appendix A. Hilbert spaces and operators; Appendix B. C* algebras and spectral theory.
Series Title: Cambridge studies in advanced mathematics, 127.
Responsibility: Edson de Faria, Welington de Melo.

Abstract:

This book presents some of the basic ideas and tools of quantum field theory to a mathematical audience.  Read more...

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'... a brief, but careful, reasonably balanced, and representative introduction for mathematicians to QFT as it is used in physics.' The Mathematical Intelligencer

 
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