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Advanced Concepts in Quantum Field Theory

With Exercises

Authors:

  • 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)

  1. Front Matter

    Pages i-x
  2. Introduction

    • James M. Cline
    Pages 1-6
  3. The Loop Expansion

    • James M. Cline
    Pages 7-9
  4. The Feynman Rules

    • James M. Cline
    Pages 11-12
  5. Evaluation of Diagrams; Regularization

    • James M. Cline
    Pages 13-15
  6. Renormalization

    • James M. Cline
    Pages 17-28
  7. Other Regulators

    • James M. Cline
    Pages 37-44
  8. Fixed Points and Asymptotic Freedom

    • James M. Cline
    Pages 45-49
  9. The Quantum Effective Action

    • James M. Cline
    Pages 51-64
  10. Fermions

    • James M. Cline
    Pages 65-78
  11. The Axial Anomaly

    • James M. Cline
    Pages 79-86
  12. Abelian Gauge Theories: QED

    • James M. Cline
    Pages 87-106
  13. Nonabelian Gauge Theories

    • James M. Cline
    Pages 107-130
  14. Nonperturbative Aspects of SU(N) Gauge Theory

    • James M. Cline
    Pages 131-144
  15. Exercises

    • James M. Cline
    Pages 145-151
  16. Back Matter

    Pages 153-153

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

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access