Journal of High Energy Physics

, 2015:115 | Cite as

The phase diagram of scalar field theory on the fuzzy disc

  • Simone Rea
  • Christian Sämann
Open Access
Regular Article - Theoretical Physics


Using a recently developed bootstrapping method, we compute the phase diagram of scalar field theory on the fuzzy disc with quartic even potential. We find three distinct phases with second and third order phase transitions between them. In particular, we find that the second order phase transition happens approximately at a fixed ratio of the two coupling constants defining the potential. We compute this ratio analytically in the limit of large coupling constants. Our results qualitatively agree with previously obtained numerical results.


Matrix Models Non-Commutative Geometry Field Theories in Lower Dimensions 


Open Access

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Copyright information

© The Author(s) 2015

Authors and Affiliations

  1. 1.Maxwell Institute for Mathematical Sciences, Department of MathematicsHeriot-Watt UniversityEdinburghU.K.

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