The \(\mathrm{GL}(n,\mathbb F_p)\)-invariance of the Potts Hamiltonian (Q1363182)
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scientific article; zbMATH DE number 1049432
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(\mathrm{GL}(n,\mathbb F_p)\)-invariance of the Potts Hamiltonian |
scientific article; zbMATH DE number 1049432 |
Statements
The \(\mathrm{GL}(n,\mathbb F_p)\)-invariance of the Potts Hamiltonian (English)
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18 August 1997
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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 \(\mathbb F_p\).
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Potts Hamiltonian
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mean-field Potts model
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multiplicative characters
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invariance
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