What should I do about my wife who accuses me of lying and lacks trust in me, and am I permitted to hit her or divorce her?

If a wife describes her husband as a liar without proof, she is doing wrong and committing a sin, because trust should exist between spouses, and each of them should strive to achieve tranquility and affection. It is advised to confront her to understand her motives, and both should avoid suspicious situations. Disciplining the wife is only when she shows defiance (nushuz), and its remedy has specific steps, the first of which is not beating or divorce, but rather mutual understanding and advice between the spouses.