The s-state Potts model with a gaussian distribution of pair couplings is found to possess, in
the infinite-range limit, a replica symmetric (RS) solution that exhibits a spin glass transition
which appears to be second order for s< 6 and first order above. The solution is not stable in
the spin glass phase, and is only stable throughout the paramagnetic (PM) phase for s< or=
2. For s> 2, the stability of the PM phase breaks down above the transition temperature
indicated by the RS solution suggesting a first-order transition which, however, cannot be …

The s-state Potts model with a gaussian distribution of pair couplings is found to possess, in
the infinite-range limit, a replica symmetric (RS) solution that exhibits a spin glass transition
which appears to be second order for s< 6 and first order above. The solution is not stable in
the spin glass phase, and is only stable throughout the paramagnetic (PM) phase for s< or=
2. For s> 2, the stability of the PM phase breaks down above the transition temperature
indicated by the RS solution suggesting a first-order transition which, however, cannot be …