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|a 10.1007/978-3-319-46003-1
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|a Ydri, Badis.
|e author.
|4 aut
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| 245 |
1 |
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|a Lectures on Matrix Field Theory
|h [electronic resource] /
|c by Badis Ydri.
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| 250 |
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|a 1st ed. 2017.
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| 264 |
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1 |
|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2017.
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| 300 |
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|a XII, 352 p. 8 illus., 6 illus. in color.
|b online resource.
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|a text
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|a Lecture Notes in Physics,
|x 0075-8450 ;
|v 929
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| 490 |
1 |
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|a Springer eBook Collection
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| 505 |
0 |
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|a 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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| 520 |
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|a 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.
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|a Loaded electronically.
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| 590 |
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|a Electronic access restricted to members of the Holy Cross Community.
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| 650 |
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|a Quantum field theory.
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| 650 |
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|a String theory.
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| 650 |
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|a Mathematical physics.
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| 650 |
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|a Computer science—Mathematics.
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| 650 |
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|a Algebraic geometry.
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| 650 |
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|a Quantum physics.
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| 690 |
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