Lectures on Tensor Categories and Modular Functors
by Bojko Bakalov, Alexander Kirillov
Publisher: American Mathematical Society 2000
Number of pages: 221
This 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 (which naturally arise in 2-dimensional conformal field theory). It would be suitable as a course text at the advanced-graduate level.
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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 A.N. Schellekens
All particles in the standard model correspond to some field in a quantum field theory. Our task is to understand how this works, how to describe interactions of these particles using quantum field theory, and how to compute various processes.
by Hans Halvorson, Michael Mueger - arXiv
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.
by Richard J. Szabo - arXiv
An introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner correspondence, noncommutative Feynman diagrams, etc.