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.
Home page url
Download or read it online for free here:
(multiple PS files)
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.
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 Mrinal Dasgupta - University of Manchester
Presently, all observational evidence points to the fact that Quantum Field Theory provides a good description of all known elementary particles. The scope of these lectures is to provide an introduction to the formalism of Quantum Field Theory.