The phase diagram of scalar field theory on the fuzzy disc

Simone Rea, Christian Saemann

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)
44 Downloads (Pure)

Abstract

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.

Original languageEnglish
Article number115
Pages (from-to)1-18
Number of pages18
JournalJournal of High Energy Physics
Volume2015
Issue number11
DOIs
Publication statusPublished - Nov 2015

Keywords

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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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