Abstract: A high-pressure discharge lamp with a burner unit which has a discharge vessel which encloses a discharge space and in which two electrodes are arranged opposite one another, wherein the electrodes each have an electrode support and an electrode tip, wherein the electrode tips are located opposite one another to form an electric arc during operation of the high-pressure discharge lamp, wherein at least a first one of the electrodes is configured as a coil electrode which has an electrode support and an electrode coil formed by a wire wound around the electrode support, wherein an exposed end of the electrode support forms the electrode tip, and wherein the electrode coil is arranged in a tip region of the electrode support adjacent to the electrode tip in the discharge space, and wherein an antenna to which voltage can be applied is routed along an outer surface of the discharge vessel.