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Lectures on matrix field theory

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Lectures on matrix field theory/ by Badis Ydri.
Author:	Ydri, Badis.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xii, 352 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Field theory (Physics) -
Online resource:	http://dx.doi.org/10.1007/978-3-319-46003-1
ISBN:	9783319460031

Lectures on matrix field theory
Ydri, Badis.

Lectures on matrix field theory[electronic resource] /by Badis Ydri. - Cham :Springer International Publishing :2017. - xii, 352 p. :ill., digital ;24 cm. - Lecture notes in physics,v.9290075-8450 ;. - Lecture notes in physics ;777 .

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.

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.

ISBN: 9783319460031

Standard No.: 10.1007/978-3-319-46003-1doiSubjects--Topical Terms:

672532
Field theory (Physics)

LC Class. No.: QC173.7

Dewey Class. No.: 530.14

Lectures on matrix field theory
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505 0 $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.
520 $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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