Lectures on Matrix Field Theory [[electronic resource] /] / by Badis Ydri
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| Autore: |
Ydri Badis
|
| Titolo: |
Lectures on Matrix Field Theory [[electronic resource] /] / by Badis Ydri
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Edizione: | 1st ed. 2017. |
| Descrizione fisica: | 1 online resource (XII, 352 p. 8 illus., 6 illus. in color.) |
| Disciplina: | 530.14 |
| Soggetto topico: | Elementary particles (Physics) |
| Quantum field theory | |
| Mathematical physics | |
| Computer science—Mathematics | |
| Algebraic geometry | |
| Quantum physics | |
| Elementary Particles, Quantum Field Theory | |
| Mathematical Physics | |
| Mathematical Applications in Computer Science | |
| Algebraic Geometry | |
| Quantum Physics | |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Lectures on Matrix Field Theory |
| ISBN: | 3-319-46003-X |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466815103316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Physics, . 1616-6361 ; ; 929