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Quantum field theory has been an elementmp course for the students majored in theoretical physics. In recent years it has become a basic knowledge needed for all the students in physics. There is much more variation in style and content among quantum field theory courses than, for example, quantum mechanics. Quantum field theory is indeed a hard course. But we knew that physics was a hard major Quantum field theory is still an active research topic, even though it has had many experimentally confirmed results since l940's. As a result, a quantum field theory course has the flavor of research f there is no set of mathematically rigorous rules to solve any problem. Answers are not final, and should be treated as questions. One should not be satisfied with the solution of a problem, but consider it as a first step toward generalization. This book arose from the lecture given to the graduate students in Physics Department of Fudan University since l994. The contents of the book are arranged as follows. The first three chapters deal with the basic properties and the quantization of the free scalar, spinor and electromagnetic fields, respectively. Chapter 4 transits to the perturbation theory and chapter 5 is a brief introduction of the quantum electromagnetic processes. Chapter 6 represents the radiative corrections and finally, chapter 7 introduces the functional method used in quantum field theory. This textbook is designed for the graduates in Physics, but it also be of interest to scientists and engineeers major in sub--atomic fields.
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