Abstract
We study a Hermitian matrix model with a kinetic term given by the one in the Kontsevich Matrix model, but with its cubic potential term replaced by the quadratic potential. We show that its partition function solves an integrable Schrödinger-type equation for a non-interacting N-body Harmonic oscillator system or Calgero-Moser model. This matrix model can be considered as a renormalizable scalar phi 4th field theory defined in a non commutative space (Moyal space). This talk is based on joint works with Harald Grosse, Naoyuki Kanomata, and Raimar Wulkenhaar.
Anyone interested is welcome to attend.