Worms in my tomatoes?!

As many of you may know, I have gven over much of my backyard to my garden this summer and have been happily pulling cukes, herbs and zucchini out of my garden for a month now.  Just recently, my tomatoes started popping out-I have about 8 plants, all different kinds, from Roma to beefsteak.

Imagine my horror, when I was pruning the plants this morning and found a huge green worm resting on one half eaten tomato.  After further investigation, I found that many of my tomatoes had been eaten alive!  I am so depressed because this destruction seems to have happened rather quickly and I am not sure how to stop it without using some kind of chemical on my tomatoes.

Has anyone else experienced these tomato worms???

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