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Some Elementary Gauge Theory Concepts (World Scientific Lecture Notes in Physics), by Sheung Tsun Tsou, Hong-Mo Chan
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Gauge theory, which underlies modern particle physics as well as the theory of gravity, and hence all of physics as we know it today, is itself based on a few fundamental concepts, the consequences of which are often as beautiful as they are deep. Unfortunately, in view of the pressure to cover aspects of the theory that are necessary for its many important applications, very little space is usually devoted in textbooks and graduate courses to the treatment of these concepts. The present small volume is an attempt to help in some degree to redress this imbalance in the literature.The topics covered are elementary in the sense of being basic, not in the sense of being shallow or easy. Although all will already feature at the classical field level, and most even before the introduction of an action principle, they often lead one to pose some quite profound questions, so that much of the material treated is by necessity at the front line of research. The approach adopted is physically motivated, although there is no hesitation in introducing mathematical concepts when they are a help to understanding. In the presentation, little is assumed of the reader, and no pains has been spared to make the whole volume understandable to researchers in other fields and to graduate students, provided that the reader is willing to devote sufficient effort required by the subject matter. On the other hand, neither has there been any conscious attempt to avoid essential difficulties, or to trivialise concepts which are intrinsically abstruse. It is thus hoped that the result will be enjoyable reading for researchers and students alike.
- Sales Rank: #4483188 in Books
- Published on: 1993-09-01
- Original language: English
- Number of items: 1
- Dimensions: 8.74" h x .53" w x 6.20" l, .77 pounds
- Binding: Hardcover
- 164 pages
Review
"It is an elegant little book, which despite its brevity, vividly provides all the groundwork and basic ideas of gauge theory -- so fundamental to modern theoretical physics." Roger Penrose University of Oxford, 1993
Most helpful customer reviews
12 of 13 people found the following review helpful.
A precious little book about a beautiful subject
By Pedro L. Ribeiro
I love this little guy. Written by two students of the eminent theoretical physicist Chen-Ning Yang, it captures all the essential features of Yang's (and Mills') beautiful idea: the deep and powerful geometrical interpretation of general (classical and quantum) fields derived from the deceptively simple principle of gauge invariance. Although it requires some knowledge of field theory, it doesn' t force the reader to study hundreds of pages of prerequisites to understand the topics treated. It follows a very wise philosophy about the maths of gauge theory, by not slaughtering the reader's mind with lots of differential geometry right at the beginning of the book, although it accomplishes to discuss even some quite esoteric topics, as how Alain Connes' noncommutative geometry may arise in non-conventional field theories (e.g., string theory). Even people already acknowledged with gauge theories may learn one or more things from this book.
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