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 |
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container_title | Physical review. D |
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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 |
format | Article |
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title | Renormalization of the energy-momentum tensor in three-dimensional scalar SU(N) theories using the Wilson flow |
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