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 
@article{AIHPD_2019__6_3_427_0,
     author = {Ferrari, Frank},
     title = {The large $D$ limit of planar diagrams},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {427--448},
     volume = {6},
     number = {3},
     year = {2019},
     doi = {10.4171/aihpd/76},
     mrnumber = {4002672},
     zbl = {1431.83092},
     language = {en},
     url = {https://www.numdam.org/articles/10.4171/aihpd/76/}
}
TY  - JOUR
AU  - Ferrari, Frank
TI  - The large $D$ limit of planar diagrams
JO  - Annales de l’Institut Henri Poincaré D
PY  - 2019
SP  - 427
EP  - 448
VL  - 6
IS  - 3
UR  - https://www.numdam.org/articles/10.4171/aihpd/76/
DO  - 10.4171/aihpd/76
LA  - en
ID  - AIHPD_2019__6_3_427_0
ER  - 
%0 Journal Article
%A Ferrari, Frank
%T The large $D$ limit of planar diagrams
%J Annales de l’Institut Henri Poincaré D
%D 2019
%P 427-448
%V 6
%N 3
%U https://www.numdam.org/articles/10.4171/aihpd/76/
%R 10.4171/aihpd/76
%G en
%F AIHPD_2019__6_3_427_0
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/

Cité par Sources :