We study the 1-dimensional Heisenberg antiferromagnet with s=1/2 using a
Majorana representation of the s=1/2 spins. A simple Hartree-Fock approximation
of the resulting model gives a bilinear fermionic description of the model.
This description is rotationally invariant and gives power-law correlations in
the ``ground state'' in a natural fashion. The excitations are a two-parameter
family of particles, which are spin-1 objects. These are contrasted to the
``spinon'' spectrum, and the technical aspects of the representation are
discussed, including the problem of redundant states.Comment: 24 pages in LaTeX, no figures; some clarifications/additions have
been made following the referee's comments; to appear in Phys. Rev.
