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Quantum Field Theory
From Basics to Modern Topics

  • Date Published: August 2019
  • availability: Available
  • format: Hardback
  • isbn: 9781108480901


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About the Authors
  • This modern text combines fundamental principles with advanced topics and recent techniques in a rigorous and self-contained treatment of quantum field theory.Beginning with a review of basic principles, starting with quantum mechanics and special relativity, students can refresh their knowledge of elementary aspects of quantum field theory and perturbative calculations in the Standard Model. Results and tools relevant to many applications are covered, including canonical quantization, path integrals, non-Abelian gauge theories, and the renormalization group. Advanced topics are explored, with detail given on effective field theories, quantum anomalies, stable extended field configurations, lattice field theory, and field theory at a finite temperature or in the strong field regime. Two chapters are dedicated to new methods for calculating scattering amplitudes (spinor-helicity, on-shell recursion, and generalized unitarity), equipping students with practical skills for research. Accessibly written, with numerous worked examples and end-of-chapter problems, this is an essential text for graduate students. The breadth of coverage makes it an equally excellent reference for researchers.

    • Connects physical theory with formal mathematics, with numerous worked examples
    • Fully up-to-date, with an emphasis on modern techniques important for current and future research
    • Begins with a concise overview of basic topics to refresh knowledge and ensure a complete understanding of the subject
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    Reviews & endorsements

    'Quantum Field Theory: From Basics to Modern Topics, by François Gelis, is a very welcome addition to the canon of literature on quantum field theory, impressive both in its breadth and depth.  It covers, in a succinct fashion, foundational material in the subject and then treats many more modern developments: effective field theories, anomaly matching, recursion relations for gauge and gravitational amplitudes, strong fields, and more.' Laurence Yaffe, University of Washington

    'Though there are many books on quantum field theory, I have found this book valuable for its readable treatment of a diverse selection of modern topics from a uniform viewpoint. Subjects introduced well in this book that are hard to find elsewhere include Schwinger-Keldysh and finite-temperature field theory, modern tools for scattering amplitudes, worldline methods, as well as effective field theory. The discussion is illustrated with a rich set of examples, mainly from high energy physics.' John McGreevy, University of California, San Diego

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    Product details

    • Date Published: August 2019
    • format: Hardback
    • isbn: 9781108480901
    • length: 608 pages
    • dimensions: 253 x 193 x 31 mm
    • weight: 1.46kg
    • contains: 100 b/w illus. 5 tables 184 exercises
    • availability: Available
  • Table of Contents

    1. Basics of quantum field theory
    2. Peturbation theory
    3. Quantum electrodynamics
    4. Spontaneous symmetry breaking
    5. Functional quantization
    6. Path integrals for fermions and photons
    7. Non-Abelian gauge symmetry
    8. Quantization of Yang–Mills theory
    9. Renormalization of gauge theories
    10. Renormalization group
    11. Effective field theories
    12. Quantum anomalies
    13. Localized field configurations
    14. Modern tools for tree amplitudes
    15. Wordline formalism
    16. Lattice field theory
    17. Quantum field theory at finite temperature
    18. Strong fields and semi-classical methods
    19. From trees to loops
    Further reading

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    Quantum Field Theory

    François Gelis

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  • Author

    François Gelis, Commissariat à l'Energie Atomique (CEA), Saclay
    François Gelis is a researcher at the Institut de Physique Théorique at Commissariat à l'Energie Atomique (CEA), Saclay and teaches quantum field theory at École Polytechnique. His extensive research has been recognised by awards including the Paul Langevin prize from the French Physical Society in 2015.

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