  For a number of quantum critical points in one dimension quantum field theory
has provided exact results for the scaling of spatial and temporal correlation
functions. Experimental realizations of these models can be found in certain
quasi one dimensional antiferromagnetc materials. Measuring the predicted
scaling laws experimentally presents formidable technical challenges. In many
cases it only became possible recently, thanks to qualitative progress in the
development of inelastic neutron scattering techniques and to the discovery of
new model compounds. Here we review some of the recent experimental studies of
this type.
