  We examine the recently introduced idea of Spin-Field Correspondence focusing
on the example of the spin system described by the XXZ Heisenberg model with
external magnetic field. The Hamiltonian of the resulting nonlinear scalar
field theory is derived for arbitrary value of the anisotropy parameter
$\Delta$. We show that the linear scalar field theory is reconstructed in the
large spin limit. For $\Delta=1$ a non-relativistic scalar field theory
satisfying the Born reciprocity principle is recovered. As expected, for the
vanishing anisotropy parameter $\Delta \rightarrow 0$ the standard relativistic
Klein-Gordon field is obtained. Various aspects of the obtained class of the
scalar fields are studied, including the fate of the relativistic symmetries
and the properties of the emerging interaction terms. We show that, in a
certain limit, the so-called polymer quantisation of the field variables is
recovered. This and other discussed properties suggest a possible relevance of
the considered framework in the context of quantum gravity.
