François GelisCambridge University Press, 7/11/2019EAN 9781108480901, ISBN10: 110848090XHardcover, 608 pages, 25.4 x 19.3 x 3 cmLanguage: EnglishOriginally published in EnglishThis 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.Preface1. Basics of quantum field theory2. Peturbation theory3. Quantum electrodynamics4. Spontaneous symmetry breaking5. Functional quantization6. Path integrals for fermions and photons7. Non-Abelian gauge symmetry8. Quantization of Yang–Mills theory9. Renormalization of gauge theories10. Renormalization group11. Effective field theories12. Quantum anomalies13. Localized field configurations14. Modern tools for tree amplitudes15. Wordline formalism16. Lattice field theory17. Quantum field theory at finite temperature18. Strong fields and semi-classical methods19. From trees to loopsFurther readingIndex.
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