There are so many sources which prompt feelings. A billboard, a song, indigestion, a poor night's sleep, a comment, a food, an aroma can all create emotions. But a feeling does not make something a fact. We may feel a kind, gentle person is holy and godly until he confesses he's a gambling addict. If our feelings were always accurate, we wouldn't need laws and courts to rule on the actual reality.
God knew about unfaithfulness and jealousy when He gave the Law to Israel. He also knew some men would feel jealous over nothing. Consequently, God gave the men of Israel a test to absolutely prove whether a wife was faithful or unfaithful. Numbers 5:12-29, “…If any man's wife goes astray…and if the spirit of jealousy comes over him and he is jealous of his wife…or if the spirit of jealousy comes over him…though she has not defiled herself, then the man shall bring his wife to the priest…then the priest shall make her take an oath…and when he (the priest) has made her drink the water…then, if she has defiled herself…the water… shall enter into her and cause bitter pain, and her womb shall swell, and her thigh shall fall away…but if the woman has not defiled herself and is clean, then she shall be free…This is the law in cases of jealousy…"
God has not given this Law to Christians, and it will not prove anything if it is tried. However, the point is jealousy does not prove reality. Even if a husband has a recurring feeling. In cases like these, it may be wise to remember that divorce is not sanctioned by Jesus. Have you tried to ask for marriage counseling from your minister? Or perhaps you both could ask a Christian therapist for help. A professional counselor can be a great blessing when addressing these types of issues. The healing of the marriage should be a priority in this situation.
However, if your husband has already left you and refuses counseling, then you can’t force him to believe you. It’s a tragedy. Essentially, you need to continue to live by following Jesus’ example. You will suffer, cry, and feel great loss. If possible, try to forgive him. God will always be there to comfort and guide you. Additionally, your friends may also provide support. The situation will eventually end and your life will go on. Hopefully, you will be able to move forward beyond the grief, as well.