2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/25702By using a decomposition of the transfer matrix of the $q$-state Potts Model on a three dimensional $ m \times n \times n $ simple cubic lattice its determinant is calculated exactly. By using the calculated determinants a formula is conjectured which approximates the critical temperature for a d-dimensional hypercubic lattice.8 pagesStatistical MechanicsDeterminant of the Potts model transfer matrix and the critical pointtext