Actually in my flocks the males are constantly chasing each other and changing the pecking order (fighting for the Alpha male position) pretty much all breeding season long. Even tho a male has already claimed/bred/paired up with a Hen, if there are extra males they will try to steal her as their own. If you watch them, the one chasing ends up getting chased and then they change who is chasing who is running, back and forth. Mine do this for hours, all around the property until one will get tired and head for a tree or other safe high spot for a break. Besides intimidating the other male/showing dominance, chasing each other around is the way they show the Hens who the "better man" is.
The only time my males really stop chasing during the breeding season is if I have more Hens than males and all the males are pre-occupied, or if it's 120 degrees in the Summer, lol. As soon as the Hens stop laying and start molting is when the chasing is officially done, until Spring.
When I said they calm down, I was probably referring to them being so noisy and so quick to sound off the alarm call at every little thing...