"phase transitions for hamiltonians with symmetry are 2nd order and phase transitions for hamiltonians without symmetry are 1st order"
"can you explain why this is true?"
"i just did - phase transitions for hamiltonians with symmetry are 2nd order and phase transitions for hamiltonians without symmetry are 1st order"
"our hw had us show that a cubic lattice with Z3 symmetry has a 1st order phase transition"
"oh yeah, that's the only exception i know of"
i'm going to DIE