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Advanced Concepts in Quantum Field Theory

With Exercises

  • Book
  • © 2020

Overview

  • 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

Part of the book series: SpringerBriefs in Physics (SpringerBriefs in Physics)

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Table of contents (16 chapters)

Keywords

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.

Authors and Affiliations

  • Department of Physics, McGill University, Montreal, Canada

    James M. Cline

About the author

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.

Bibliographic Information

  • Book Title: Advanced Concepts in Quantum Field Theory

  • Book Subtitle: With Exercises

  • Authors: James M. Cline

  • Series Title: SpringerBriefs in Physics

  • DOI: https://doi.org/10.1007/978-3-030-56168-0

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

  • Softcover ISBN: 978-3-030-56167-3Published: 22 October 2020

  • eBook ISBN: 978-3-030-56168-0Published: 21 October 2020

  • Series ISSN: 2191-5423

  • Series E-ISSN: 2191-5431

  • Edition Number: 1

  • Number of Pages: X, 153

  • Number of Illustrations: 63 b/w illustrations

  • Topics: Elementary Particles, Quantum Field Theory

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