I know the exact feeling that you are experiencing. My advice is to give it a little bit of time (but not too much) and then call her and ask her to talk. Then tell her face to face basically everything that you've written here. Tell her that you miss her, and that you've been feeling physically ill at just the thought of not being with her. But most importantly tell her that it was your fault for causing them to break up and that you undertsand that your fears were not rational, but it was a weird way of just showing how much you care about her.
And for the relationship to work thereafter, you have to change. If you do get together and then you just fall back into the same loop of worry and jealousy and distrust, then when you break up next time, it will most likely be permanent. If she's given you no room to doubt her, then trust her a little, especially if you think she loves you as much as you love her.
This is my advice too.