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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 with a 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 mathematical formulation 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 and supersymmetry. 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.
This textbook investigates the mathematical framework and physical principles required to transition from classical field theories to the complexities of quantum field theory. The authors, John Iliopoulos, Laurent Baulieu, and Roland Sénéor, leverage their expertise in theoretical physics to provide a structured pedagogical approach. By connecting classical electrodynamics and general relativity to the path integral formulation, they establish a rigorous foundation for understanding elementary particle interactions and the Standard Model.
What You Will Find
Scope Limits
Experts and educators frequently highlight this text as a rigorous resource for advanced undergraduate and graduate students seeking a formal mathematical treatment of quantum fields. Readers often note the academic density of the prose, which serves as a reliable reference for those already familiar with the foundational concepts of theoretical physics.
Page Count:
992
Publication Date:
2017-01-01
Publisher:
OUP Oxford
ISBN-10:
0191092630
ISBN-13:
9780191092633
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