Volume 518 - The 42nd International Symposium on Lattice Field Theory (LATTICE2025) - Parallel Session Theoretical developments and applications beyond Standard Model
Non-perturbative renormalization of the energy momentum tensor in the 2d O(3) nonlinear sigma model
M. Lauk* and A. Patella
*: corresponding author
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Pre-published on: July 05, 2026
Published on: —
Abstract
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 $Z_T$
DOI: https://doi.org/10.22323/1.518.0148
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