Algebraic Quantum Field Theory
by Hans Halvorson, Michael Mueger
Publisher: arXiv 2006
Number of pages: 202
Algebraic quantum field theory provides a general, mathematically precise description of the structure of quantum field theories, and then draws out consequences of this structure by means of various mathematical tools -- the theory of operator algebras, category theory, etc. This paper is a survey of AQFT, with an orientation towards foundational topics. In addition to covering the basics of the theory, we discuss issues related to nonlocality, the particle concept, the field concept, and inequivalent representations.
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by Mark Srednicki - Cambridge University Press
This introduction to quantum field theory will be of value not only to beginning students but also to practicing physicists interested in learning or reviewing specific topics. The material is presented in an intuitively clear and informal style.
by Hans de Vries - Physics-Quest.org
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.
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.
by Ling-Fong Li - National Tsing Hua University
These quantum field theory notes include the following topics: Quantization of Field Theory; Theory of Renormalization; Symmetry; Standard Model of Electroweak Interaction; Theory of Strong Interaction -- Quantum Chromodynamics.