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arXiv · 2009.14767

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
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Abstract

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 $\varphi^4$ interaction on the lattice. In this theory the energy-momentum tensor can mix with $\varphi^2$ and we present numerical results for the mixing coefficient for the $N=2$ theory.

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Luigi Del Debbio, Elizabeth Dobson, Andreas Jüttner, Ben Kitching-Morley, Joseph K. L. Lee, Valentin Nourry, Antonin Portelli, Henrique Bergallo Rocha, Kostas Skenderis. 2020-09-30. Renormalization of the energy-momentum tensor in three-dimensional scalar $SU(N)$ theories using the Wilson flow. https://doi.org/10.1103/physrevd.103.114501

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