The Transportation Security Administration, a branch of the Department of Homeland Security, is in charge of security in all airports throughout the United States. Formed after the terrorist attacks of September 11th 2001, the TSA has strict guidelines regarding carrying liquids, weapons and combustible materials onto airplanes. Delta Airlines, as with all other airlines, must comply to TSA regulations.
Before taking your trip, consider contacting Delta or visiting its website for a complete list of its rules and regulations. This ensures that you always have the most up-to-date information.
Delta Airlines is completely within its legal right to refuse service to anybody who doesn't follow its rules and regulations, according to Delta Airlines' official blog. Similarly, Delta will refuse service to anybody who fails to comply to TSA regulations.