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arXiv · 1904.11231

Nested Catalan tables and a recurrence relation in noncommutative quantum field theory

Jins de Jong·Alexander Hock·Raimar Wulkenhaar
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Abstract

Correlation functions in a dynamic quartic matrix model are obtained from the two-point 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.

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Jins de Jong, Alexander Hock, Raimar Wulkenhaar. 2019-04-25. Nested Catalan tables and a recurrence relation in noncommutative quantum field theory. https://doi.org/10.4171/aihpd/113

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