Lectures on Matrix Field Theory

Badis Ydri

ISBN 10: 3319460021 / ISBN 13: 9783319460024

Published by Springer International Publishing AG, CH, 2016

About this Item

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.

Seller Inventory # LU-9783319460024

Bibliographic Details

• Title: Lectures on Matrix Field Theory
• Publisher: Springer International Publishing AG, CH
• Publication Date: 2016
• Language: English
• ISBN 10: 3319460021
• ISBN 13: 9783319460024
• Binding: Paperback
• Edition: 1st ed. 2017.
• Condition: New

About this title

Synopsis

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.

About the Author

Badis Ydri, currently a Professor of theoretical particle physics, teaching at the Institute of Physics, Badji Mokhtar  Annaba University, Algeria, received his PhD (2001) from Syracuse University, NY, USA, and his Habilitation (2011) from Annaba University, Algeria. He is also a research associate at the Dublin Institute for Advanced Studies, Ireland, and a regular ICTP associate at the Abdus Salam Center for Theoretical Physics, Trieste, Italy. His post-doctoral experience comprises a Marie Curie fellowship (2006-2008) at Humboldt University Berlin, Germany, and a Hamilton fellowship (2001-2005) at the Dublin Institute for Advanced Studies, Ireland.
Research directions: Renormalization group equation and Monte Carlo method for matrix and non-commutative field theories. Emergent physics (gauge, matter, gravity, time, etc.) and emergent geometry from matrix models. Cosmological Yang-Mills models. AdS/CFT and Yang-Mills matrix models.
Other interests include stringtheory, causal dynamical triangulation, Horava-Lifshitz gravity, and supersymmetric gauge theory in four dimensions.

His hobbies are reading philosophic works and history of science.