2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112397The frustrated Ising model in two dimensions is revisited. The frustration is quantified in terms of the number of non-trivial plaquettes which is invariant under the Nishimori gauge symmetry. The exact ground state energy is calculated using Edmond's algorithm. A novel cluster algorithm is designed which treats gauge equivalent spin glasses on equal footing and allows for efficient simulations near criticality. As a first application, the specific heat near criticality is investigated.4 pages, 4 eps figures includedHigh Energy Physics - LatticeStatistical MechanicsHigh Energy Physics - TheoryA gauge invariant cluster algorithm for the Ising spin glasstext