Lectures on Matrix Field Theory

By Badis Ydri

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.

• Format: Paperback
• Language: English
• ISBN: 3319460021
• ISBN13: 9783319460024
• Release Date: November 2016
• Publisher: Springer
• Length: 352 Pages
• Weight: 1.13 lbs.
• Dimensions: 0.8" x 6.1" x 9.2"