To start off, Male and Female hamsters really don't like each other. Like other Betta fish. They will fight and sometime eat each other! Hamsters are animals that need their own space, As I have my own hamster, who needs her own space. Other hamsters just don't go along well with other animals of their kinds. A lot of animals act like this. Its common Behavior, so don't think its very unusual or panic because they are fighting and weren't fighting at the pet store. Separate them immeditally! Its always better safe than sorry since they might hurt each other.
They also need their own Food and Water. They are independent animals. These animals need their own space!!!
Do Whats right-
SEPARATE THEM!!!!!! they might kill each other otherwise!!!