Permission for specific fields in the 'Edit' page

Is there a way to enable specific users or group of users to edit specific fields in the _edit page?

I want to create kind of approval mechanism and my scenario is that one specific group will have permission to add records. each other group will approve the content of this record by marking a checkbox or will disapprove by writing the reason for the disapproval in a textarea field. I will log which group has approved and which has disapproved. I thought to add checkbox field and textarea that will represent each group and each group will have permission to edit only the checkbox or the textarea that represent her.
How to do that?
Thanks a lot