YES! Except it isn't with EVERYTHING. The very first time I noticed this was with tomato soup when I was about 8 or 9! Then it got real bad about 10 years ago and it was happening with beef, gravies, tomato sauce and ice cream of all things. I usually need to have water close by when eating any of that stuff and use it as a "chaser" to put out the fire.
(I had an endoscopy in 2005 - they found absolutely NOTHING wrong, not even any esophageal irritation!)
Absolutely not your heart. When I eat tomato sauce it's the worst, I actually sometimes bend over and just go, "WHOA!" (because it will burn so bad)