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 Colin Morningstar - arXiv
This series of six lectures is an introduction to using the Monte Carlo method to carry out nonperturbative studies in quantum field theories. Path integrals in quantum field theory are reviewed, and their evaluation is presented.
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 Luis Alvarez-Gaume, Miguel A. Vazquez-Mozo - arXiv
In these lectures we present a few topics in Quantum Field Theory in detail. Some of them are conceptual and some more practical. They have been selected because they appear frequently in current applications to Particle Physics and String Theory.