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

A nonperturbative 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 renormalizing the energy-momentum tensor on the lattice. In this p...

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Veröffentlicht in:Physical review. D 2021-06, Vol.103 (11), p.1, Article 114501
Hauptverfasser: Del Debbio, Luigi, Dobson, Elizabeth, Jüttner, Andreas, Kitching-Morley, Ben, Lee, Joseph K. L., Nourry, Valentin, Portelli, Antonin, Bergallo Rocha, Henrique, Skenderis, Kostas
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container_issue 11
container_start_page 1
container_title Physical review. D
container_volume 103
creator Del Debbio, Luigi
Dobson, Elizabeth
Jüttner, Andreas
Kitching-Morley, Ben
Lee, Joseph K. L.
Nourry, Valentin
Portelli, Antonin
Bergallo Rocha, Henrique
Skenderis, Kostas
description A nonperturbative 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 renormalizing the energy-momentum tensor on the lattice. In this paper, we utilize the Wilson flow to define a procedure to renormalize 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.
doi_str_mv 10.1103/PhysRevD.103.114501
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subjects Mathematical analysis
Momentum
Scalars
Tensors
title Renormalization of the energy-momentum tensor in three-dimensional scalar SU(N) theories using the Wilson flow
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