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A non-perturbative renormalisation prescription for the energy-momentumtensor, based on space-time symmetries along the Wilson flow, has been proposedrecently in the context of 4-dimensional gauge theories. We extend thisconstruction to the case of a scalar field theory, and investigate itsnumerical feasibility by studying Ward identities in 3-dimensional scalar fieldtheory. After introducing the Wilson flow for the scalar field theory wediscuss its renormalisation properties and the determination of therenormalisation constants for the energy-momentum tensor.

Renormalisation of the energy-momentum tensor in scalar field theory using the Wilson flow