Lectures on Matrix Field Theory I

Badis Ydri

doi:10.1007/978-3-319-46003-1

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arXiv · 1603.00924

Lectures on Matrix Field Theory I

Badis Ydri

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Abstract

The subject of matrix field theory involves matrix models, noncommutative geometry, fuzzy physics and noncommutative field theory and their interplay. In these lectures, a lot of emphasis is placed on the matrix formulation of noncommutative and fuzzy spaces, and on the non-perturbative treatment of the corresponding field theories. In particular, the phase structure of noncommutative $ϕ^4$ theory is treated in great detail, and an introduction to noncommutative gauge theory is given.

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Badis Ydri. 2016-03-02. Lectures on Matrix Field Theory I. https://doi.org/10.1007/978-3-319-46003-1

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