Author: Badis Ydri Full Title: Lectures On Matrix Field Theory Publisher: Springer; 1st ed. 2017 edition (November 30, 2016) Year: 2017 ISBN-13: 9783319460031 (978-3-319-46003-1), 9783319460024 (978-3-319-46002-4) ISBN-10: 331946003X, 3319460021 Pages: 352 Language: English Genre: Physics: Theoretical, Mathematical & Computational Physics File type: PDF (True) Quality: 10/10 Price: 46.79 € 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. ------------- Our members see more. Join us!
