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Lectures on Matrix Field Theory (Paperback, 1st ed. 2017)
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Lectures on Matrix Field Theory (Paperback, 1st ed. 2017)
Series: Lecture Notes in Physics, 929
Expected to ship within 9 - 15 working days
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These lecture notes provide a systematic introduction to matrix
models of quantum field theories with non-commutative and fuzzy
geometries. The book initially focuses on the matrix formulation of
non-commutative and fuzzy spaces, followed by a description of the
non-perturbative treatment of the corresponding field theories. As
an example, the phase structure of non-commutative phi-four theory
is treated in great detail, with a separate chapter on the
multitrace approach. The last chapter offers a general introduction
to non-commutative gauge theories, while two appendices round out
the text. Primarily written as a self-study guide for postgraduate
students - with the aim of pedagogically introducing them to key
analytical and numerical tools, as well as useful physical models
in applications - these lecture notes will also benefit experienced
researchers by providing a reference guide to the fundamentals of
non-commutative field theory with an emphasis on matrix models and
fuzzy geometries.
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