The Monte Carlo Method in Quantum Field Theory
by Colin Morningstar
Publisher: arXiv 2007
Number of pages: 77
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 by the Monte Carlo method with Markov-chain based importance sampling is presented.
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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 Takafumi Kita - arXiv
The author presents a concise and self-contained introduction to nonequilibrium statistical mechanics with quantum field theory. Readers are assumed to be familiar with the Matsubara formalism of equilibrium statistical mechanics.
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 Matthew Schwartz - Harvard University
The approach is to emphasize that Quantum Field Theory is first and foremost a tool for performing practical calculations. I will emphasize the physical problems which have driven the development of the field, and to show how they can be solved.