TY  - BOOK
AU  - Ydri,Badis
ED  - SpringerLink (Online service)
TI  - Lectures on Matrix Field Theory
T2  - Lecture Notes in Physics,
SN  - 9783319460031
AV  - QC174.45-174.52 
U1  - 530.14 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Quantum field theory
KW  - String theory
KW  - Mathematical physics
KW  - Computer science—Mathematics
KW  - Algebraic geometry
KW  - Quantum physics
KW  - Quantum Field Theories, String Theory
KW  - Mathematical Physics
KW  - Math Applications in Computer Science
KW  - Algebraic Geometry
KW  - Quantum Physics
N1  - Preface.- Introductory Remarks -- The Non-Commutative Moyal-Weyl Spaces Rd -- The Fuzzy Sphere -- Quantum Non-Commutative Phi-Four -- The Multitrace Approach.- Non-Commutative Gauge Theory -- Appendix A - The Landau States -- Appendix B - The Traces TrtAtB and TrtAtBtCtD -- Index
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
UR  - https://doi.org/10.1007/978-3-319-46003-1
ER  -