Quantum field theory for mathematicians
โ Scribed by Robin Ticciati
- Book ID
- 127431592
- Publisher
- Cambridge University Press
- Year
- 1999
- Tongue
- English
- Weight
- 7 MB
- Series
- Encyclopedia of mathematics and its applications 72
- Category
- Library
- City
- Cambridge; New York
- ISBN-13
- 9780521632652
No coin nor oath required. For personal study only.
โฆ Synopsis
Ticciati's approach to quantum field theory falls between building a mathematical model of the subject and presenting the mathematics that physicists actually use. It begins with the need to combine special relativity and quantum mechanics and culminates in a basic understanding of the standard model of electroweak and strong interactions. The book is divided into five parts: canonical quantization of scalar fields, Weyl, Dirac and vector fields, functional integral quantization, the standard model of the electroweak and strong interactions, renormalization. This should be a useful reference for those interested in quantum theory and related areas of function theory, functional analysis, differential geometry or topological invariant theory.
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Ideas from quantum field theory and string theory have had considerable impact on mathematics over the past 20 years. Advances in many different areas have been inspired by insights from physics. In 1996-97 the Institute for Advanced Study (Princeton, NJ) organized a special year-long program design