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Nested Catalan tables and a recurrence relation in noncommutative quantum field theory.
- Source :
- Annales de l'Institut Henri Poincaré D; 2022, Vol. 9 Issue 1, p47-72, 26p
- Publication Year :
- 2022
-
Abstract
- Correlation functions in a dynamic quartic matrix model are obtained from the twopoint function through a recurrence relation. This paper gives the explicit solution of the recurrence by mapping it bijectively to a two-fold nested combinatorial structure each counted by Catalan numbers. These "nested Catalan tables" have a description as diagrams of non-crossing chords and threads. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 23085827
- Volume :
- 9
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Annales de l'Institut Henri Poincaré D
- Publication Type :
- Academic Journal
- Accession number :
- 157086488
- Full Text :
- https://doi.org/10.4171/AIHPD/113