For which vaccine  u are asking ... Or general

IgM antibody is a marker of acute or recent infection It usually forms within few days of infection or sometimes after vaccination It usually vanishes from the blood soon after the formation of IgG antibodies or if the infection is cured IgG antibodies is a marker of chronic infection or infection in past. It usually forms after IgM antibody and persist in blood for long times sometimes may even life long

Check IgG after 3-4 weeks of vaccination