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

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

29 pages, 9 figures

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Cited by in corpus (2)

• Nonperturbative infrared finiteness in super-renormalisable scalar quantum field theory
• Two-loop gradient-flow renormalization of scalar QCD