PoS - Proceedings of Science
Volume 256 - 34th annual International Symposium on Lattice Field Theory (LATTICE2016) - Theoretical Developments
Renormalisation of the scalar energy-momentum tensor with the Wilson flow
S. Ehret,* F. Capponi, L. Del Debbio, R. Pellegrini, A. Portelli, A. Rago
*corresponding author
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Pre-published on: February 17, 2017
Published on: March 24, 2017
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
DOI: https://doi.org/10.22323/1.256.0341
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