Introduction to Algebraic and Constructive Quantum Field Theory
by John C. Baez, Irving E. Segal, Zhengfang Zhou
Publisher: Princeton University Press 1992
Number of pages: 316
The authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern mathematical theory with the explanation of the observed process of particle production and of particle-wave duality that heuristic quantum field theory provides. The authors address readers interested in fundamental mathematical physics and who have at least the training of an entering graduate student.
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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 Sergey Ketov - InTech
Advances in Quantum Field Theory covers some current applications of quantum field theory to various areas of modern physics and mathematics, in order to offer a deeper understanding of known facts and unsolved problems.
by Sidney Coleman - arXiv
These notes were taken during Sidney Coleman's lectures on Quantum Field Theory (Physics 253), given at Harvard University in Fall semester of the 1986-1987 academic year. These notes remain the principal source for the Physics 253a materials.
by J. Berges - arXiv
An introduction to functional integral techniques and how they can be applied in practice. Though we focus on particle physics and cosmology applications, we emphasize that these techniques can be equally applied to other nonequilibrium phenomena.