TY  - BOOK
AU  - Ydri,Badis
TI  - Lectures on matrix field theory
T2  - Lecture notes in physics
SN  - 9783319460024 (alk. paper)
U1  - 530.14 23
PY  - 2017///
CY  - Cham : 
PB  - Springer
KW  - Field theory (Physics)
KW  - Matrix derivatives
N1  - Includes bibliographical references and index; 1. Introductory Remarks.- 
2. The Non-Commutative Moyal-Weyl Spaces Rd.- 
3. The Fuzzy Sphere.- 
4. Quantum Non-Commutative Phi-Four.- 
5. The Multitrace Approach.- 
6. Non-Commutative Gauge Theory
N2  - 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
ER  -