Did Brad Pitt wear wig in Troy?

Could you clarify if there is any credible evidence or information that suggests Brad Pitt wore a wig while portraying Achilles in the film "Troy"? The question seems to imply a level of speculation or curiosity about the actor's appearance in the movie, and I'm wondering if there's a specific reason or rumor behind it. Is there a noticeable difference in his hairstyle or texture that has sparked this inquiry? Additionally, have there been any official statements or interviews from Brad Pitt or the film's crew that address this topic?