A method for producing a connection between two surfaces or surface sections of two ceramic parts comprises: provision of a first ceramic part and of a second ceramic part; provision of an active brazing solder material on at least one surface section of at least one of the ceramic parts; and heating the active brazing solder in a vacuum brazing process. The whole active brazing solder material is provided for connecting the first and the second ceramic part by a sputtering method, wherein at least one surface section of at least one of the ceramic parts, preferably of the two ceramic parts, is layered with a layer sequence of individual components of the active brazing solder material, wherein the average strength of the layers of an individual component of the active brazing solder is no more than 0.5%, in particular not more than 0.2%, preferably not more than 0.1% and especially preferably not more than 0.05% of the strength of the joining region.