More like major insecurity and lack of trust. This often accompanies drama, some kind of violence( punching walls) wears down the relationship. Toxic. Explain how you feel, tell him you care about him but if he can't trust you the relationship has no solid ground. Good luck!
It is MOST likely just a sigh of his insecurity. If you try to break up with him for whatever reason he will always think that you are cheating. How old are you guys?? Early 30s? I would get away from him and I wouldnt turn back.....esp if he has a temper. He does NOT trust you. It sounds like you dont trust him much either. I would get rid of him and find someone else with a bit more confidence and no security issues.