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Lectures on Matrix Field Theory. 1st ed. 2017
・ISBN 978-3-319-46002-4 paper EUR 49.99
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| 著者・編者 | Ydri, Badis, |
|---|---|
| シリーズ | (Lecture Notes in Physics) |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2016 |
| ページ数 | 352 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A04-94440＞ |
解説
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.