Do miners get?

They get S.A.D, Seasonally Adjusted Depression, due to the lack of normal daylight they see during Winter months. It's dark when they go down and dark when they come out. It's a recognised medical condition. Look it up.

No, because they continue to remain in the same time zone. I

i don't think so. the human body has an internal clock which tells you what time of day it is (not exactly what time it is, but close to it.)