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Record Nr. |
UNINA9910250049003321 |
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Autore |
Ydri Badis |
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Titolo |
Lectures on Matrix Field Theory / / by Badis Ydri |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
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ISBN |
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Edizione |
[1st ed. 2017.] |
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Descrizione fisica |
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1 online resource (XII, 352 p. 8 illus., 6 illus. in color.) |
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Collana |
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Lecture Notes in Physics, , 1616-6361 ; ; 929 |
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Disciplina |
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Soggetti |
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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 |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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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. |
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