Renormalization of the energy-momentum tensor in three-dimensional scalar SU(N) theories using the Wilson flow

Luigi Del Debbio, Elizabeth Dobson, Andreas Jüttner, Ben Kitching-Morley, Joseph K. L. Lee, Valentin Nourry, Antonin Portelli, Henrique Bergallo Rocha, Kostas Skenderis

Research output: Contribution to journalArticlepeer-review

Abstract

A non-perturbative determination of the energy-momentum tensor is essential for understanding the physics of strongly coupled systems. The ability of the Wilson Flow to eliminate divergent contact terms makes it a practical method for renormalising the energy-momentum tensor on the lattice. In this paper, we utilise the Wilson Flow to define a procedure to renormalise the energy-momentum tensor for a three-dimensional massless scalar field in the adjoint of SU(N) with a φ4 interaction on the lattice. In this theory the energy momentum tensor can mix with φ2 and we present numerical results for the mixing coefficient for the N=2 theory.
Original languageEnglish
JournalPhysical Review D
Publication statusAccepted/In press - 16 Apr 2021

Keywords

  • hep-lat
  • hep-th

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