Springer - Lectures On Matrix Field Theory (2017 EN)

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    Author: Badis Ydri
    Full Title: Lectures On Matrix Field Theory
    Publisher: Springer; 1st ed. 2017 edition (November 30, 2016)
    Year: 2017
    ISBN-13: 9783319460031 (978-3-319-46003-1), 9783319460024 (978-3-319-46002-4)
    ISBN-10: 331946003X, 3319460021
    Pages: 352
    Language: English
    Genre: Physics: Theoretical, Mathematical & Computational Physics
    File type: PDF (True)
    Quality: 10/10
    Price: 46.79 €
    Website: http://www.springer.com/gp/book/9783319460024

    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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