Physics Quest: Understanding Relativistic Quantum Field Theory
by Hans de Vries
Publisher: Physics-Quest.org 2013
From the table of contents: Relativistic foundations of light and matter Fields; Advanced treatment of the EM field; The relativistic matter wave equations; Foundations of Quantum Electro Dynamics; Non Abelian gauge theories.
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by Chethan Krishnan - arXiv
These notes are an expanded version of lectures given in 2010. The aim is to provide a practical introduction to quantum field theory in curved spacetime and related black hole physics, with AdS / CFT as the loose motivation.
by John C. Baez, Irving E. Segal, Zhengfang Zhou - Princeton University Press
The book presents a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. The authors address readers interested in fundamental mathematical physics and who have the training of a graduate student.
by Stefan Weinzierl - arXiv
An introduction to Feynman integrals. In the first part of the course the author reviews the basics of the perturbative expansion in quantum field theories. In the second part of the course he will discuss more advanced topics.
by Bojko Bakalov, Alexander Kirillov - American Mathematical Society
The book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors.