Is there such things as marriage recovery after your spouse infidelity?

Ahm... yep, why not?!
But it depends, too... if it's a cheating wife it's easier to recover because women only cheats when "bored" or feeling unloved. So he only needs to give her love (and more sex) and that's alright.
But when it's a cheating husband... men cheat because of the social misconception: they "need" to cheat. So yeah, cheating without reason is just too much. So it's better for her to run away and get another man.