Lectures on Matrix Field Theory I
High Energy Physics - Theory
2017-04-05 v1 General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Mathematical Physics
math.MP
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 theory is treated in great detail, and an introduction to noncommutative gauge theory is given.
Cite
@article{arxiv.1603.00924,
title = {Lectures on Matrix Field Theory I},
author = {Badis Ydri},
journal= {arXiv preprint arXiv:1603.00924},
year = {2017}
}
Comments
293 pages, 10 figures. Several small parts of these lectures have already appeared in various preprints found on the arXiv. I have felt no need to reword my own expressions if I thought they conveyed the physics properly