The large D limit of planar diagrams
Annales de l’Institut Henri Poincaré D, Tome 6 (2019) no. 3, pp. 427-448.

We show that in O(D) invariant matrix theories containing a large number D of complex or Hermitian matrices, one can define a D→∞ 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.

Accepté le :
Publié le :
DOI : 10.4171/aihpd/76
Classification : 81-XX, 05-XX, 41-XX, 83-XX
Mots-clés : Feynman graphs, large N, large D, planar diagrams, matrix models, tensor models, holography, black holes 
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     pages = {427--448},
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     doi = {10.4171/aihpd/76},
     mrnumber = {4002672},
     zbl = {1431.83092},
     language = {en},
     url = {https://www.numdam.org/articles/10.4171/aihpd/76/}
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Ferrari, Frank. The large $D$ limit of planar diagrams. Annales de l’Institut Henri Poincaré D, Tome 6 (2019) no. 3, pp. 427-448. doi : 10.4171/aihpd/76. https://www.numdam.org/articles/10.4171/aihpd/76/
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