Non-perturbative renormalization of the energy momentum tensor in the 2d O(3) nonlinear sigma model
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866911656300249088 |
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| author | Lauk, Mika Patella, Agostino |
| author_facet | Lauk, Mika Patella, Agostino |
| contents | The two-dimensional O(3) nonlinear sigma model is a well known toy model for studying non-perturbative phenomena in quantum field theory. A central challenge is the renormalization of the energy-momentum tensor, which is complicated by the nonlinear realization of the $O(3)$ symmetry leading to non-trivial operator mixing patterns, and by large discretization artifacts affecting the determination of renormalization constants. We present results for the renormalization constants in the non-singlet sector, employing a modified lattice action with shifted boundary conditions and defining the renormalized coupling through the gradient flow. With this we obtain a precise determination of the renormalization constants $z_T$ and $Z_T$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23078 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-perturbative renormalization of the energy momentum tensor in the 2d O(3) nonlinear sigma model Lauk, Mika Patella, Agostino High Energy Physics - Lattice The two-dimensional O(3) nonlinear sigma model is a well known toy model for studying non-perturbative phenomena in quantum field theory. A central challenge is the renormalization of the energy-momentum tensor, which is complicated by the nonlinear realization of the $O(3)$ symmetry leading to non-trivial operator mixing patterns, and by large discretization artifacts affecting the determination of renormalization constants. We present results for the renormalization constants in the non-singlet sector, employing a modified lattice action with shifted boundary conditions and defining the renormalized coupling through the gradient flow. With this we obtain a precise determination of the renormalization constants $z_T$ and $Z_T$ |
| title | Non-perturbative renormalization of the energy momentum tensor in the 2d O(3) nonlinear sigma model |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2602.23078 |