Integrability of Φ4 matrix model as N-body harmonic oscillator system

Harald Grosse, Akifumi Sako (Corresponding author)

Publications: Contribution to journalArticlePeer Reviewed

Abstract

We study a Hermitian matrix model with a kinetic term given by Tr(HΦ2), where H is a positive definite Hermitian matrix, similar as in the Kontsevich Matrix model, but with its potential Φ3 replaced by Φ4. We show that its partition function solves an integrable Schrödinger-type equation for a non-interacting N-body Harmonic oscillator system.
Original languageEnglish
Article number48
Number of pages19
JournalLetters in Mathematical Physics
Volume114
Issue number2
DOIs
Publication statusPublished - Apr 2024

Austrian Fields of Science 2012

  • 103019 Mathematical physics
  • 103012 High energy physics

Keywords

  • 81R10
  • 81R12
  • 81T32
  • 81T75
  • Harmonic oscillator
  • Integrable model
  • Matrix model
  • Noncommutative geometry

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