Don't split up, calm down and find out the reason for your quarrel. If it's because you don't trust him, then find evidence that he cheated. If not, forget it. If there is some evidence of infidelity, there is no need to continue the stalemate, because the Cold War will only accelerate your's relations to the end. Three months, normal people can't stand it. If possible, I hope you can find a suitable opportunity, put aside your previous prejudices and talk openly. Communicate more, communicate more, communicate more.