- Series: Philosophy and Foundations of Physics (Book 2)
- Hardcover: 264 pages
- Publisher: Elsevier Science; 1 edition (July 16, 2007)
- Language: English
- ISBN-10: 0444531122
- ISBN-13: 978-0444531124
- Product Dimensions: 6.5 x 0.8 x 9.8 inches
- Shipping Weight: 1.4 pounds (View shipping rates and policies)
- Average Customer Review: 1 customer review
- Amazon Best Sellers Rank: #3,699,087 in Books (See Top 100 in Books)
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The Structure and Interpretation of the Standard Model, Volume 2 (Philosophy and Foundations of Physics) 1st Edition
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Just a disclaimer: I'm a mathematician doing mathematical physics, so I'm very comfortable with representation theory of Lie groups, differential geometry, functional analysis (including nonlinear functional analysis), partial differential equations, and topology...and there were some parts of the book that required some careful reading.
The author noted in the preface his inspiration for such a book is Derdzinski's Geometry of the Standard Model of Elementary Particles. Fortunately, they are republishing that excellent book, which gives you some idea of the level of mathematical sophistication of the "Structure and Interpretation of the Standard Model".
Although the author sometimes uses rather esoteric philosophical terms, it is only in one chapter -- the introduction.
The book deals with the subject of the "first quantization" for the standard model. This is (in the words of the author on page 25) "the process of obtaining a Hilbert space of cross-sections of a vector bundle" over the light cone.
However, the author lucidly explains the notion of a "fibre bundle" that is exquisite. I have never seen anyone explain it as well as the author. It made the use of such a mathematical gadget straight forward and obvious.
Additionally, the author never made any demands on spacetime as the base manifold (i.e. it wasn't assumed to be flat or curved), so it is a trivial exercise for the motivated reader to incorporate general relativity into the scheme.
This is a "must have" for anyone who is doing research on the standard model or particle physics, or even wants to learn it from a mathematical point of view. It is not a physicist's introduction to the subject, it's a rigorous introduction to the beautiful topic.