Specifically they talk about the big greeting routine and that most fights are about connection not the thing you’re fighting about.
The hug routine is that before you tell each other about anything in the day, you hug. Make it a long one. Until you relax into it. Connect your nervous systems together and enjoy the closeness of it.
This is also like the idea of “beginnings” in When by Daniel Pink. It’s a beginning (you’re coming home) and it’s a mid-point (the middle of your day). Both great times to start something new, renewing the relationship.