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Lie Algebras In Particle Physics: from Isospin To Unified Theories (Frontiers in Physics) 2nd Edition
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I took Prof. Georgi's class and found it quite frustrating occasionally, and I found that there was no other book that you could turn to for help. All the other books either cover group theory purely mathematically or seem to be very advanced particle physics texts. By the way, I disagree with the previous reviewer's comments that you need to know any particle physics before reading this book; I didn't know any and I did fine.
The problems at the end of the chapter are very good in terms of testing your understanding. I don't think there is a single problem that involves tedious algebra, and yet many of them are quite tricky and I remember pulling all-nighters to do a problem that, once we figured it out, took three lines.
Anyway, Georgi's book is good in the sense of being very original, very complete, challenging, and fascinating. However, the drawback is that it is occasionally quite confusing. Overall, it can be a very good textbook, if you have a clear professor to decipher it for you and fill in the gaps.
However, this is *not* a complete text on group theory in particle physics (and therefore, little of what you need for supersymmetric field theories and string theories). So in addition to this book, you'd need something else with an introduction to the other things you need for your particular interest. Try Gilmore's "Applications of Lie algebras...", which I believe is out of print (in libraries). Also, Cornwell's abridged "Group theory in physics" is good (though if you can find the older set of three volumes, that may be more suited to your desires).
I don't suggest many of the other books on group theory for particles/fields/strings. There are tidbits of group theory you can pick up in the particular text you are working with, e.g. "Quantum theory of Fields" by Weinberg if you are learning quantum field theory.
For mathematical physics in general, I strongly suggest "Gauge fields, knots, and gravity" (John Baez), "Differential Geometry for physicists" (Chris Isham), and "Mathematical Physics" (Geroch).
1.finite groups 2.Lie groups 3.SU(2) 4.tensor operators 5.isospin 6.roots and weights 7.SU(3) 8.simple roots 9.more SU(3) 10.tensor methods 11.hypercharge and strangeness 12.Young tableaux 13.SU(n) 14.3-d harmonic oscillator 15.SU(6) and the quark model 16.color 17.constituent quarks 18.unified theories and SU(5) 19.classical groups 20.classification theorem 21.SO(2n+1)and spinors 22.SO(2n+2)spinors 23.SU(n)<SO(2n) 24.SO(10) 25.automorphisms 26.Sp(2n) 27.odds and ends - E6
This is the kind of book that a casual reader will go through and think he has learned alot but for which the serious student who seeks a precise, thorough understanding of the material will likely end up confused at many points. It is a book of tools. The reader will not obtain a mastery of the subject but must suppliment this book with other, more theoretical treatments of representation theory.
The lack of mathematical rigor is by design as Geogi mentions in the preface. It could have been a better book, in my opinion, had it been more fleshed out in that respect.
Most Recent Customer Reviews
I had a copy of this book in graduate school, on loan from our library. I found it to be a good introduction to Lie Algebra in general and its application to describing the... Read morePublished 2 months ago by David Robert Bergman
A nice book that lacks a common theme. Georgi was one of the first who wrote down a Grand Unified Theory, so he knows quite some group theory and why it is important in physics. Read morePublished 3 months ago by Han
I know Lie Algebras from the mathematical side. I expected the author to give a physical argument of why it was applicable to elementary particles. Read morePublished 9 months ago by Mark Baker
If I wasn't reading this side by side with a professor, many parts of it would have been baffling. There are two areas especially where something is presented as though proven but... Read morePublished 20 months ago by Male 1991
+Easy to read.
+Gives many explicit examples.
-Sometimes it is hard to comprehend the meaning of a single sentence! Read more
I really like this book, He explained very well Lie group and Lie algebra with applications in particle physics. Properties of SU(N) are shown very well in this book.Published on March 4, 2013 by Mike
it's here if you want it.
you'll have to work for it.
this is not written by a mathematician, so fellow math phDs be ready. Read more
The Dover books Semi-Simple Lie Algebras and Their Representations (Dover Books on Mathematics) and Lie Groups, Lie Algebras, and Some of Their Applications cover the topic, but... Read morePublished on June 3, 2009 by Roger Bagula