I'm going to cheat on my wife
Why would you cheat on someone who loves you?
We don't love each other
It's wrong to cheat on your spouse, because it is a betrayal of the commitment you made.  If you are no longer in love with each other, you should talk it out and see what you can both agree on as the best way forward.
Don't talk to me like you're my psychologist.
It's just better to be honest with your spouse. Why live a lie and hurt your wife?