Heat oil in a 3 quart dutch oven over medium-high heat and saute the onions, green pepper and garlic until soft, about 3 minutes.
Add the ground beef and using a wooden spoon break up the meat, then add the cayenne powder and chili powder, cook the ground beef thoroughly stirring occasionally to brown and cook evenly.
Add the kidney beans, diced tomatoes, lime juice, and tomato sauce and bring to a simmer.
Sprinkle the red pepper flakes over the chili. Lower heat to medium and continue cooking for 30 minutes