Renormalization of the noncommutative φ 3 model through the Kontsevich model

  title={Renormalization of the noncommutative φ 3 model through the Kontsevich model},
  author={Grosse and Steinacker},
We point out that the noncommutative selfdual φ model can be mapped to the Kontsevich model, for a suitable choice of the eigenvalues in the latter. This allows to apply known results for the Kontsevich model to the quantization of the field theory, in particular the KdV flows and Virasoro constraints. The 2-dimensional case is worked out explicitly. We obtain nonperturbative expressions for the genus expansion of the free energy and some n-point functions. The full renormalization for finite… CONTINUE READING
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