Lectures on Matrix Field Theory
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...
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| Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2017.
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| Edition: | 1st ed. 2017. |
| Series: | Lecture Notes in Physics,
929 |
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| Online Access: | https://doi.org/10.1007/978-3-319-46003-1 |
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.