- Paperback: 422 pages
- Publisher: CRC Press; 3rd Rev edition (September 1, 2002)
- Language: English
- ISBN-10: 0750308648
- ISBN-13: 978-0750308649
- Product Dimensions: 6.1 x 1 x 9.1 inches
- Shipping Weight: 1.4 pounds (View shipping rates and policies)
- Average Customer Review: 7 customer reviews
- Amazon Best Sellers Rank: #922,208 in Books (See Top 100 in Books)
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Gauge Theories in Particle Physics, Vol. 1: From Relativistic Quantum Mechanics to QED, 3rd Edition 3rd Rev Edition
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"The third edition volume 1 is a classic. All three editions are worth having. . . There are things which change and develop, as well as the inclusion of new material, as the editions appear. The clarity of exposition and the language of explanation gets even better, as the editions appear. The insights, some added in the later editions, broaden and challenge one's understanding. Above all, the excitement that one gets by being guided through the advanced theoretical concepts by the authors is unique. . . The book focuses much more of its attention on understanding. It is this feature that makes Gauge Theories in Particle Physics' so invaluable." -- Professor John Dainton FRS, University of Liverpool . ." . . the authors have substantially enlarged the text to reflect developments both in university curricula and the field of particle physics." -- CERN COURIER "Reading the book of Aitchison and Hey one can see that the authors have taken a lot of pains to achieve their work to be understandable by undergraduate students. We believe that the authors were successful in this aspect and their book is very suitable into later stages of undergraduate studies of students of theoretical physics with inclination to particle physics. However, it can still be useful also for graduate PhD students and more educated scientists, who would like to be more familiar with some of the presented problems of particle physics."
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Topics discussed include gauge invariance principle; relativistic field equations describing free particles like Klein-Gordon and Dirac; Feynman interpretation of the negative energy solutions of Dirac eq. (no its not `antiparticle going back in time'); Dirac equation with EM field; Lagrangian and Hamiltonian densities for continuous systems; quantization of free fields like KG (real and complex scalar), Dirac and Electromagnetic field [the quantization is by postulating commutators/anticommutators, no path integrals]; Normal ordering of operators; Interaction picture for interacting fields, Time ordering of operators, Dyson expansion of the S matrix; Wick's theorem; scattering processes in QED at tree level; Ward identity; form factors for scattering from non point particle; parton model, Bjorken scaling; diagrams with loops, regularization and renormalization of ultraviolet divergences in QED.
It took me a month and a half to read the book and solve all problems (10 problems per chapter on average). The problems are exactly the ones every beginner should solve and usually revolve about filling in details from the text or proving statements in the text. Solving them is usually easy with a few exceptions and teaches you the typical computational tricks of the trade. You have to know quantum mechanics (at least have seen scattering theory) and special relativity. You have to at least have heard of Green function and contour integration in the complex plane. The book provides nice appendices about all these.
Not everything is crystal clear in that book, sometimes it took me a few days for an idea to sink in or I understood some paragraphs only after I read the whole book. Other ideas I did not understand at all. Sometimes it's hard to tell what they are trying to say although they say it several times from different angles ... The authors should work on expressing an idea in a direct succinct way once and for all instead of repeating several fuzzy versions of it. Overall that book made me understand MUCH more than a regular QFT course and I highly recommend it as a prep for such a course.
Without a teacher, this book would be a great bridge between your undergraduate studies and the "classics" QFT textbook.
Take my advice: start reading this book in parallel with your QFT coursework or beforehand if you can. These books are worth every penny and every minute of your study time. Many mysteries are resolved! Enjoy.