- Contains a full account of loops and renormalization in concise format
- Exercises allow the reader to test his/her comprehension and practice the concepts at a level suitable to starting research in the area
- Offers a unique perspective on specialized topics including anomalies, theta vacua and nonperturbative aspects of nonabelian gauge theories
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- About this book
-
This book comprises the second half of a quantum field theory (QFT) course for graduate students. It gives a concise introduction to advanced concepts that are important for research in elementary particle theory. Topics include the path integral, loop expansion, Feynman rules, various regularization methods, renormalization, running couplings and the renormalization group, fixed points and asymptotic freedom, effective action, Coleman-Weinberg effective potential, fermions, the axial anomaly, QED, gauge fixing, nonabelian gauge theories, unitarity, optical theorem, Slavnov-Taylor identities, beta function of Yang-Mills theory, a heuristic derivation of asymptotic freedom, instantons in SU(N) gauge theory, theta vacua and the strong CP problem. Exercises are included and are intended for advanced graduate students or postdocs seeking to deepen their understanding of QFT.
- About the authors
-
James Cline is a professor of theoretical physics at McGill University. He earned his Ph.D. in particle physics at Caltech, held postdoctoral positions at Ohio State University, McGill, and University of Minnesota, and has been a frequent sabbatical visitor at CERN. His research contributions, numbering over 200, have focused on elementary particle theory and its links to cosmology and astrophysics. He has taught at advanced schools including Les Houches and TASI.
- Table of contents (15 chapters)
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Introduction
Pages 1-6
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The Loop Expansion
Pages 7-9
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The Feynman Rules
Pages 11-12
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Evaluation of Diagrams; Regularization
Pages 13-15
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Renormalization
Pages 17-28
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Table of contents (15 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Advanced Concepts in Quantum Field Theory
- Book Subtitle
- With Exercises
- Authors
-
- James Cline
- Series Title
- SpringerBriefs in Physics
- Copyright
- 2020
- Publisher
- Springer International Publishing
- Copyright Holder
- The Author(s), under exclusive license to Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-56168-0
- DOI
- 10.1007/978-3-030-56168-0
- Softcover ISBN
- 978-3-030-56167-3
- Series ISSN
- 2191-5423
- Edition Number
- 1
- Number of Pages
- X, 153
- Number of Illustrations
- 67 b/w illustrations
- Topics