The planar sector of the self-dual Φ^4 model on 4D Moyal space is solved in closed form by a hypergeometric function, and the model's spectral dimension is proven to be 4 - (2/π) arcsin(λπ).
Nested Catalan tables and a recurrence relation in noncommutative quantum field theory
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
fields
math-ph 1years
2019 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Solution of the self-dual $\Phi^4$ QFT-model on four-dimensional Moyal space
The planar sector of the self-dual Φ^4 model on 4D Moyal space is solved in closed form by a hypergeometric function, and the model's spectral dimension is proven to be 4 - (2/π) arcsin(λπ).