  A detailed study of a PT-symmetric zero-dimensional quartic theory is
presented and a comparison between the properties of this theory and those of a
conventional quartic theory is given. It is shown that the PT-symmetric quartic
theory evades the consequences of the Mermin-Wagner-Coleman theorem regarding
the absence of symmetry breaking in d<2 dimensions. Furthermore, the
PT-symmetric theory does not satisfy the usual Bogoliubov limit for the
construction of the Green's functions because one obtains different results for
the $h\to0^-$ and the $h\to0^+$ limits.
