Lectures on Matrix Field Theory
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.
| Autor: | Ydri, Badis |
|---|---|
| ISBN: | 9783319460024 |
| Sprache: | Englisch |
| Seitenzahl: | 352 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
| Veröffentlicht: | 30.11.2016 |
| Schlagworte: | Fuzzy physics Fuzzy spaces LNP Lecture Notes in Physics Matrix models Noncommutative Moyal-Weyl Spaces Noncommutative field theory Noncommutative gauge theory Noncommutative geometry Noncommutative scalar phi-four |
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