|"to check download speedfan and gpu-z and check the temps"|
"Also more information like system specs, graphics, and game details (what game, have you played this one before without problems, etc.)"
Without this information we cannot help you further.
Download and install Speedfan and report back internal temperatures at idle and during or just after game play.
Download and install CPU-Z and report back actual CPU speed at idle and during games or while running other programs, especially note any changes during lags.
Report ALL of your system components, or if exactly stock as shipped from the factory, report make and model number of your system. Graphics, CPU information, amount and type of memory, as well as power supply specs are especially important due to this happening during game play.
Report CPU and memory usage at idle which will indicate if you have too much running in the background and need to shut things down.
Please do all of these things and report back on them or we will not be able to help you. If you have any questions, report back what you can and ask for more details on what you need help on.
You have to be a little bit crazy to keep you from going insane.