International Journal of Mathematics and Mathematical Sciences 
Volume 20 (1997), Issue 1, Pages 33-36
doi:10.1155/S0161171297000057

The GL(n,Fp)—invariance of the Potts Hamiltonian

Mihai Caragiu1 and Mellita Caragiu2

 1Department of Mathematics , Penn State University, 218 McAllister Building, University Park, 16802, PA, USA
2Department of Physics, "Babes-Bolyai" University, Str. M. Kogalniceanu 1, Cluj-Napoca 3400, Romania
Received 8 June 1995; Revised 8 August 1995

Abstract

After defining a meanfield by arithmetic means, using multiplicative characters of finite fields, its Potts Hamiltonian is exactly computed. Moreover, it proves to be invariant with respect to every change of basis in Fq over the prime field Fp.