The \(\mathrm{GL}(n,\mathbb F_p)\)-invariance of the Potts Hamiltonian
type: Item
instance of: scholarly article
title: The \(\mathrm{GL}(n,\mathbb F_p)\)-invariance of the Potts Hamiltonian
zbMATH Open document ID: 0904.11042
DOI: 10.1155/S0161171297000057
author: Mihai Caragiu
author: Mellita Caragiu
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1997-08-18T00:00:00Z
full work available at URL: https://eudml.org/doc/48038
review text: A specific mean-field Potts model is defined on a discrete subset of the \(n\)-torus, seen both as a lattice and as the finite field \(\mathbb F_q\) with \(q=p^n\), \(p\) a prime. This model allows for an exact computation by means of multiplicative characters (it is designed for this purpose). As a consequence, the invariance of the total energy is shown under an arbitrary change of basis of \(\mathbb F_q\) seen as an \(n\)-dimensional vector space over \(\mathbb F_p\).
reviewed by: Michael Baake
Mathematics Subject Classification ID: 11T24
Mathematics Subject Classification ID: 11L40
Mathematics Subject Classification ID: 11Z05
Mathematics Subject Classification ID: 82B20
zbMATH DE Number: 1049432
zbMATH Keywords: Potts Hamiltonian
zbMATH Keywords: mean-field Potts model
zbMATH Keywords: multiplicative characters
zbMATH Keywords: invariance
MaRDI profile type: Publication
OpenAlex ID: W2072503155
description: scientific article; zbMATH DE number 1049432