From Classical to Quantum Fields

Paperback | April 18, 2017

byLaurent Baulieu, John Iliopoulos, Roland Seneor

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Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to describe and understand the fundamental interactions of elementary particles. The book begins witha brief reminder of basic classical field theories, electrodynamics and general relativity, as well as their symmetry properties, and proceeds with the principles of quantisation following Feynman's path integral approach. Special care is used at every step to illustrate the correct mathematicalformulation of the underlying assumptions. Gauge theories and the problems encountered in their quantisation are discussed in detail. The last chapters contain a full description of the Standard Model of particle physics and the attempts to go beyond it, such as grand unified theories andsupersymmetry. Written for advanced undergraduate and beginning graduate students in physics and mathematics, the book could also serve as a reference for active researchers in the field.

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Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to describe and understand the fundamental interactions of elementary particles. The book begins witha brief reminder of basic classical field th...

Laurent Baulieu is currently CNRS Research Director at the University of Paris, where he has long been the head of the Theoretical Physics Department. His main field of research is Quantum Field Theory, the Theory of Elementary Particles and Symmetries. He has been an organizer of many summer schools and workshops on various aspects o...
Format:PaperbackDimensions:992 pages, 9.69 × 6.73 × 0.01 inPublished:April 18, 2017Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198788401

ISBN - 13:9780198788409

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Table of Contents

1. Introduction2. Relativistic invariance3. The Electromagnetic Field4. General relativity: a field theory of gravitation5. The physical states6. Relativistic wave equations7. Towards a relativistic Quantum Mechanics8. Functional integrals and probabilistic amplitudes9. Functional integrals and quantum mechanics: Formal developments10. the Euclidean functional integrals11. Fermions and functional formalism12. Relativistic quantum fields13. Applications14. Geometry and Quantum Dynamics15. Broken Symmetries16. Quantum Field Theory at higher orders17. A first glance at Renormalisation and Symmetyr18. Renormalisation of Yang-Mills theory and BRST symmetry19. Some consequences of the Renormalisation Group20. Analyticity properties of Feynman diagrams21. Infrared singularities22. Coherent states and classical limit of quantum electrodynamics23. Quantum Field Theories with a large number of elds24. The existence of eld theories beyond the perturbation expansion25. Fundamental Interactions26. Beyond the Standard Model27. Supersymmetry, or the Defense of scalarsApp. A: Tensor calculusApp. B: Differential calculusApp. C: Groups and Lie algebrasApp. D: A collection of useful formulae