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

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 conjectu...

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Bibliographic Details
Published in:	Scientific reports Vol. 14; no. 1; pp. 22375 - 7
Main Authors:	Ostilli, M., Rocha, G. W. C., Bezerra, C. G., Viswanathan, G. M.
Format:	Journal Article
Language:	English
Published:	London Nature Publishing Group UK 27.09.2024 Nature Publishing Group Nature Portfolio
Subjects:	639/766/530/2795 639/766/530/2804 Enumeration Humanities and Social Sciences Mathematical models multidisciplinary Polygons Science Science (multidisciplinary)
ISSN:	2045-2322, 2045-2322
Online Access:	Get full text
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