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
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.