International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 1, Pages 33-36

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

Copyright © 1997 Mihai Caragiu and Mellita Caragiu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.