Lectures on Matrix Field Theory

• Main Author: Ydri, Badis (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Lecture Notes in Physics, 929
• Subjects: Physics.; Computer science > Mathematics.; Algebraic geometry.; Mathematical physics.; Quantum field theory.; String theory.; Quantum physics.; Quantum Field Theories, String Theory.; Mathematical Physics.; Math Applications in Computer Science.; Algebraic Geometry.; Quantum 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 co...

Table of Contents:

• 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.