The vacuum switching chamber has two contact pieces and is provided with at least one heat pipe for dissipating heat. The heat pipe contains a working medium for dissipating the heat by evaporating the working medium in a section, referred to as the evaporator, of the heat pipe and condensing the working medium in a section, referred to as the condenser, of the heat pipe. Advantageously, the evaporator is in close thermal contact with at least one contact piece, and, in particular, at least part of the evaporator is integrated in the first contact piece or the second contact piece. Advantageously, the condenser has a cooling rib arrangement.