Generalization to d-dimensions of a fermionic path integral for exact enumeration of polygons on hypercubic lattices

Abstract The generating function for polygons on the square lattice has been known for many decades and is closely related to the path integral formulation of a free fermion model. On the cubic and hypercubic lattices the generating function is still unknown and the problem remains open. It has been...

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Bibliographic Details
Main Authors: M. Ostilli, G. W. C. Rocha, C. G. Bezerra, G. M. Viswanathan
Format: Article
Language:English
Published: Nature Portfolio 2024-09-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-024-71809-1
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