The large limit of planar diagrams

  • Frank Ferrari

    Université Libre de Bruxelles and International Solvay Institutes, Bruxelles, Belgium; Institute for Basic Sciences, Daejeon, South Korea
The large $D$ limit of planar diagrams cover
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Abstract

We show that in O invariant matrix theories containing a large number of complex or Hermitian matrices, one can define a limit for which the sum over planar diagrams truncates to a tractable, yet non-trivial, sum over melon diagrams. In particular, results obtained recently in SYK and tensor models can be generalized to traditional, string-inspired matrix quantum mechanical models of black holes.

Cite this article

Frank Ferrari, The large limit of planar diagrams. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 6 (2019), no. 3, pp. 427–448

DOI 10.4171/AIHPD/76