Dice carrots, celery, onion, and one seeded and veined jalepeno. Sorry, I don't have measurements. You can't ruin it. Sweat until soft in butter or olive oil or both. Add diced chicken breast and brown. Add chicken broth, equal amount of water, and a chicken bouillion (I suppose you could do all broth). At this point you add either a can of hominy or La Moderna noodles (the brand is important) and let them simmer together. Salt and pepper to taste. If you choose the noodles be aware that they will suck up all the broth eventually.
Serve with limes and cilantro. Without these two ingredients the soup is pretty regular. We eat all the soups we can with these two things in them. I suppose you could try a little lemon and parsley if you want a more traditional soup.
This one is hominy, I guess.