Seriously, people make mistakes and people learn from those mistakes. It is friggin possible!!!
We don't know the whole story, we only know what woot has told us. We don't know all of the specifics on their marriage. It can be fixed, they can get through this.
Woot, listen Do not, and I mean DONT do this because you want those boys to have a 2 parent home, don't do it because you feel obligated to....
Go back and be with your wife because every morning that you wake up and she is not there makes your day worse. Because even though you are seperated her smile still makes your heart skip a beat, still makes you happier, and still makes your day. Go back to her because even though you both have caused each other pain you realize that it is more painful being apart...
Woot, go back to your wife because you want to be with your wife, because you want to be her husband, and because you want to try again.
And if none of this rings a bell to you, then move on for everyone including your own benefit. But def get some couples therapy to help get past the issues.