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Gauge Field Theories (Cambridge Monographs on Mathematical Physics)

Gauge Field Theories (Cambridge Monographs on Mathematical Physics)

List Price: $70.00
Your Price: $70.00
Product Info Reviews

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Rating: 5 stars
Summary: swell
Review: I learned from cheng and li, which aint bad itself, but i found myself frequenting this book because of it's structure.

basically, i think that the path integral viewpoint should be stressed because of renormalizing gauge theories and more advanced topics. If i taught field theory i think this would be an ideal second semester book, first semester something more mundane.

it's strong points are
1) this approach i like
2) starting with basically no prereqs
3) details that cant be found elsewhere (theta vacua, some calculations in GWS theory that others dont do).

weakness: no traditional operator-style QFT, not a lot on representing groups.

Rating: 4 stars
Summary: From Fair to Good
Review: Pokorski starts the book with a very pedagogical spirit, giving an overview of classical field theory needed for the sequel and providing detail in his presentation. His treatment of functional integrals is one of the best I've seem in a field theory textbook and he does a better job of deriving the Feynman rules for QCD than I have seen elsewhere. But somewhere around half-way to two-thirds into the book it seems as though the author starts to get a little lazy, applying a more descriptive approach to the material rather than careful derivations. More is left to the reader to work through and his discussions tend to give one a sense of knowing about the material more than the actual material itself.

Its not that self contained. For instance scattering problems are presented without the development of a scattering formula and are very sketchy. Knowledge of group theory and spinors is required although they are discussed briefly in an appendix.

For a book of this level it would have been nice to see some topics included that were not covered: a deeper treatment of renormalization, proof of Coleman's theorem, proof of BRS invariance, derivations for asymptotic freedom of QCD.

Topics I thought were handled well are: the proofs of Goldstone's theorem and the treatment of spontaneous symmetry breaking in general, development of the non-abelian gauge theory, renormalization group and the general Ward identities.

Rating: 4 stars
Summary: A quantum field theory book
Review: This book covers the following subjects: 1. A brief introduction to QFT formalism 2. Feynman rules for YM thy 3. RG 4.QED 5. OPE 6. QCD 7.Spontaneous and explicit symmetry breaking 8. Higgs mechanism 9. SM of EW interactions 10. Chiral anomalies 11. Eff. Lagrangians and 11. a brief introduction to susy. The derivations are in general very detailed. At the end of every chapter, there are exercices (without solutions). The appendices are very useful, specially appendix C, which collects the SM feynman rules in a concise manner.


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