Is there going to be a God of War 4 game

Well, God of War 3 was the final chapter of the series. However, there is a spin-off named God of War: Ghost of Sparta which takes place between GOW 1 and 2. It was released on Nov. 2 (USA), Nov. 3 (Europe) and Nov .4 (Australia). But not to get your hopes up, it's only on psp.