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](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-aihpd-volume-6-issue-3.png&w=3840&q=90)
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