  The non-perturbative computation of the energy-momentum tensor can be used to
study the scaling behaviour of strongly coupled quantum field theories. The
Wilson flow is an essential tool to find a meaningful formulation of the
energy-momentum tensor on the lattice. We extend recent studies of the
renormalisation of the energy-momentum tensor in four-dimensional gauge theory
to the case of a three-dimensional scalar theory to investigate its intrinsic
structure and numerical feasibility on a more basic level. In this paper, we
discuss translation Ward identities, introduce the Wilson flow for scalar
theory, and present our results for the renormalisation constants of the scalar
energy-momentum tensor.
