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

نویسندگان

چکیده

Correlation functions in a dynamic quartic matrix model are obtained from the two-point function through recurrence relation. This paper gives explicit solution of by mapping it bijectively to two-fold nested combinatorial structure each counted Catalan numbers. These `nested tables' have description as diagrams non-crossing chords and threads.

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ژورنال

عنوان ژورنال: Annales de l’Institut Henri Poincaré D

سال: 2022

ISSN: ['2308-5827', '2308-5835']

DOI: https://doi.org/10.4171/aihpd/113