Indiana Code Title 36. Local Government § 36-5-7-4

(1) shall serve all process directed to the marshal or deputy by the town court or legislative body;

(2) shall arrest without process all persons who commit an offense within the marshal's or deputy's view, take them before a court having jurisdiction, and detain them in custody until the cause of the arrest has been investigated;

(3) shall suppress breaches of the peace;

(4) may, if necessary, call the power of the town to the marshal's or deputy's aid;

(5) may execute search warrants and arrest warrants;  and

(6) may pursue and jail persons who commit an offense.