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
