Renormalization constants of the lattice energy momentum tensor using the gradient flow

Understand

We employ a new strategy for a non perturbative determination of the renormalized energy momentum tensor.

• The strategy is based on the definition of suitable lattice Ward identities probed by observables computed along the gradient flow.
• The new set of identities exhibits many interesting qualities, arising from the UV finiteness of flowed composite operators.
• In this paper we show how this method can be used to non perturbatively renormalize the energy momentum tensor for a SU(3) Yang-Mills theory, and report our numerical results.