Fuzzy scalar field theory as matrix quantum mechanics

  • Matthias Ihl
  • Christoph Sachse
  • Christian Sämann


We study the phase diagram of scalar field theory on a three dimensional Euclidean spacetime whose spatial component is a fuzzy sphere. The corresponding model is an ordinary one-dimensional matrix model deformed by terms involving fixed external matrices. These terms can be approximated by multitrace expressions using a group theoretical method developed recently. The resulting matrix model is accessible to the standard techniques of matrix quantum mechanics.


Matrix Models Non-Commutative Geometry Field Theories in Lower Dimensions 


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Copyright information

© SISSA, Trieste, Italy 2011

Authors and Affiliations

  • Matthias Ihl
    • 1
  • Christoph Sachse
    • 2
  • Christian Sämann
    • 3
    • 4
  1. 1.Instituto de FísicaUniversidade Federal do Rio de JaneiroRio de JaneiroBrasil
  2. 2.Fachbereich Mathematik, Bereich Algebra und ZahlentheorieUniversität HamburgHamburgDeutschland
  3. 3.Department of MathematicsHeriot-Watt UniversityEdinburghU.K.
  4. 4.Maxwell Institute for Mathematical SciencesEdinburghU.K.

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