My husband said he was going to leave me but has not left and has not showed any signs of leaving?

He is not invloved in our family life. There is no intimacy. I was very heartbroken at first but after a week of stewing in the argument and replaying his words in my mind, I've decided that I'm worth more than that and now I just feel like I want him to leave. I think he has not left because he has nowhere to go. I've found his facebook page and he is just chatting it up with lots of younger girls.How do I approach the situation without it getting very ugly.