Lectures on Matrix Field Theory (Paperback)
Language: English
Published by Springer International Publishing AG, Cham, 2016
- First Edition
- Softcover
- New

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Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…
Seller Inventory # 9783319460024
- Title
- Lectures on Matrix Field Theory (Paperback)
- Author
- Badis Ydri
- Publisher
- Springer International Publishing AG, Cham
- Publication year
- 2016
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 3319460021
- ISBN 13
- 9783319460024
- Edition
- 1st Edition
- Series
- Book 158 of 241: Lecture Notes in Physics
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.
"Synopsis" may belong to another edition of this title.
About the Author
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.
"About the title" may belong to another edition of this title.
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