Place all of the ingredients except for the chicken breasts in a food processor.  Pulse until well blended and you just see small bits of the peppers and garlic.

Place the chicken breasts in a ziplock type bag and then pour in the marinade.  Squeeze out as much air as you can and then seal the bag.  Marinade for an hour in the refrigerator.  Like I said before, this marinade is strong and the acid from the lime juice will do great things quickly to those breasts, so if you only have a half hour, it's still going to have some great flavor.  An hour is best though...

Light the grill on high and remove the chicken breasts from the refrigerator.

Once the grill is nice and hot, place the chicken breasts on the grill.  If there are some bits of peppers and garlic on the chicken breasts as they grill, that's great, they will provide great flavor.

Grill for about 5 or 6 minutes per side depending on how thick your chicken breasts are.  You can tell when it is time to flip the chicken on the grill because the meat will become more and more opaque as it grills.