Simple thermodynamic reasoning is used to argue that at temperatures of the
order of a trillion kelvin, QCD, the theory which describes strongly inter
acting particles such as protons and neutrons under normal conditions, unde
rgoes a phase transition to a plasma of more elementary constituents called
quarks and gluons. A review is presented of what is known about the plasma
phase both from theoretical calculations and from experiments involving th
e collisions of large atomic nuclei moving at relativistic speeds. Finally
the behaviour of nuclear material under conditions of extreme density is co
nsidered, and possible exotic phenomena such as quark matter and colour sup
erconductivity are discussed.