Classical Theory of Gauge Fields (Google eBook)

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Princeton University Press, Feb 9, 2009 - Science - 456 pages
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Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its ideas and results can be understood at the classical or semi-classical level. Accordingly, this book is organized so that its early chapters require no special knowledge of quantum mechanics. Aspects of gauge field theory relying on quantum mechanics are introduced only later and in a graduated fashion--making the text ideal for students studying gauge field theory and quantum mechanics simultaneously.

The book begins with the basic concepts on which gauge field theory is built. It introduces gauge-invariant Lagrangians and describes the spectra of linear perturbations, including perturbations above nontrivial ground states. The second part focuses on the construction and interpretation of classical solutions that exist entirely due to the nonlinearity of field equations: solitons, bounces, instantons, and sphalerons. The third section considers some of the interesting effects that appear due to interactions of fermions with topological scalar and gauge fields. Mathematical digressions and numerous problems are included throughout. An appendix sketches the role of instantons as saddle points of Euclidean functional integral and related topics.

Perfectly suited as an advanced undergraduate or beginning graduate text, this book is an excellent starting point for anyone seeking to understand gauge fields.

  

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Contents

9780691059273_3CH1
3
9780691059273_4CH2
11
9780691059273_5CH3
33
9780691059273_6CH4
57
9780691059273_7CH5
85
9780691059273_8CH6
105
9780691059273_9SUP1
127
9780691059273_10PT2
135
9780691059273_20CH14
295
9780691059273_21CH15
329
9780691059273_22CH16
351
9780691059273_23CH17
373
9780691059273_24SUP3
397
9780691059273_25APP
403
9780691059273_26BIB
429
9780691059273_27IND
441

9780691059273_11CH7
137
9780691059273_12CH8
173
9780691059273_13CH9
193
9780691059273_14CH10
215
9780691059273_15CH11
225
9780691059273_16CH12
249
9780691059273_17CH13
263
9780691059273_18SUP2
287
9780691059273_19PT3
293
Contents
v
Preface
ix
Part I
1
Part II
135
Part III
293
Appendix Classical Solutions and the Functional Integral
403
Bibliography
429
Index
441
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