Antonyms for the phrase "are hot on the trail" could include "are off the trail," "are lost," "are out of touch," or "are clueless." These words suggest a lack of direction, determination, or focus in pursuing a goal or objective. They indicate a state of confusion or disorientation that contrasts with the intensity and urgency conveyed by the original phrase. Using antonyms to a phrase can help create a nuanced and complex imagery, enriching the language and adding depth to the meaning. By exploring the opposite meanings of a word, we can expand our vocabulary and create more impactful and effective communication.