Bootstrapping fuzzy scalar field theory

Christian Saemann*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)
33 Downloads (Pure)


Abstract: We describe a new way of rewriting the partition function of scalar field theory on fuzzy complex projective spaces as a solvable multitrace matrix model. This model is given as a perturbative high-temperature expansion. At each order, we present an explicit analytic expression for most of the arising terms; the remaining terms are computed explicitly up to fourth order. The method presented here can be applied to any model of hermitian matrices. Our results confirm constraints previously derived for the multitrace matrix model by Polychronakos. A further implicit expectation about the shape of the multitrace terms is however shown not to be true.

Original languageEnglish
JournalJournal of High Energy Physics
Issue number4
Publication statusPublished - Apr 2015


  • Field Theories in Lower Dimensions
  • Matrix Models
  • Non-Commutative Geometry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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