Add wine (or juice/vinegar) and lime juice to pan; deglaze the pan using a wire whisk and working quickly. Bring it to a boil; now add the chicken broth, half and half, ginger and cayenne. LOWER heat immediately (or sauce will break) and cook over medium heat, stirring constantly, about 2 minutes. When sauce has reduced and thickened, taste it and correct the seasoning, if necessary.