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Lectures on Matrix Field Theory

Medium: Buch
ISBN: 978-3-319-46002-4
Verlag: Springer
Erscheinungstermin: 30.11.2016
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9783319460024
  • Medium: Buch
  • ISBN: 978-3-319-46002-4
  • Verlag: Springer
  • Erscheinungstermin: 30.11.2016
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2017
  • Serie: Lecture Notes in Physics
  • Produktform: Kartoniert, Paperback
  • Gewicht: 5504 g
  • Seiten: 352
  • Format (B x H x T): 155 x 235 x 20 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.