A linear drive for a machine tool having a housing, having a carriage, which is mounted so it is axially movable in the housing via two bearings, and has a central axis and a length, and having at least one first motor, having a first motor element and a second motor element, wherein said first motor element is disposed on the carriage and the second motor element is disposed on the housing, wherein the first motor element is implemented on the carriage as a primary part and the second motor element is implemented on the housing as a secondary part. A method for moving a carriage for a lathe tool of a highly-dynamic machine tool employing a crossed roller bearing for mounting the carriage, wherein all roller bodies of the crossed roller bearing are always operationally linked to a carriage-side bearing surface, and the carriage is driven at an oscillation frequency of at least 50 Hz, in particular between 60 Hz and 200 Hz.