A consequence is something that causes HIM inconvenience.
1. Silent treatment 2. Just make dinner for family - excluding him - when he asks say outright "I don't cook for people who are dishonest and hurt this family" or some such - let the kids be in earshot 3. EXPOSE the infidelity to his family - Don't threaten, just do it. 4. Expose to your kids (they are old enough to know it looks like) 5. Show up at his work and confront the OW at his workplace (this is a hotly debated one, but this list is just samples.. mild and severe.. it IS a consequence)
All of the above make HIS life more DIFFICULT. Each time you catch him you squeeze him more and you get your confidence back in the process.