Lectures on matrix field theory / Badis Ydri.

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Lectures on matrix field theory / Badis Ydri.

9783319460031 (electronic book)
331946003X (electronic book)
9783319460024
3319460021

Cham, Switzerland : Springer, 2017.

English

1 online resource.

10.1007/978-3-319-46003-1 doi

QC173.7

530.14

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.

Includes bibliographical references and index.

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Lecture notes in physics ; 929.

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