Abstract: The invention is directed to an arrangement for the generation of short-wavelength radiation based on a hot plasma generated by gas discharge and to a method for the production of coolant-carrying electrode housings. It is the object of the invention to find a novel possibility for gas discharge based short-wavelength radiation sources with high average radiation output in quasi-continuous discharge operation by which efficient cooling principles can be implemented using inexpensive and simple means in order to prevent a temporary melting of the electrode surfaces and, therefore, to ensure a long lifetime of the electrodes. According to the invention, this object is met in that special cooling channels for circulating coolant are integrated in electrode collars of the electrode housings.