In large saucepan, place chicken broth, chili paste, garlic, ginger and sesame oil.
Bring mixture to a summer over high heat
Reduce heat to low; simmer 15 minutes
In separate large soup pot or dutch oven, place chicken slices and carrots
Strain heated broth over chicken and carrots
Simmer over medium-low heat for 5 minutes
Stir in snow peas; simmer for 1 minute
Stir in scallions, bean sprouts and mint; simmer an additional 2 minutes (note: if you plan to save the soup to eat later, leave out the mint and add upon reheating. Mint tastes best fresh in the soup)
Serve hot.