Method of producing a hot gas component of a turbomachine including an embedded channel

A method for producing a hot gas component of a turbomachine, the component having at least one passage embedded in an outer wall of the component, the method comprising:

• forming at least one passage-like cavity in a basic body of the component;
• covering the at least one passage-like cavity by applying a coating material to the basic body;
• locally surface melting the basic body at least on two sides of the cavity simultaneous with said applying and with melting the coating material at least in the region of the cavities, wherein the coating material, a process temperature, and the width of the cavity are matched to each other so that the molten coating material does not penetrate into the cavity on account of surface tension;
• and
• cooling and hardening the molten coating material so that the coating material is epitaxially built up on the basic body, achieving a metallurgical connection to the basic body on the two sides of the cavity.