Abstract
In this paper we explicitly carry out the perturbative renormalization of the \( T\overline{T} \)-deformed free massive Dirac fermion in two dimensions up to second order in the coupling constant. This is done by computing the two-to-two S-matrix using the LSZ reduction formula and canceling out the divergences by introducing counterterms. We demonstrate that the renormalized Lagrangian is unambiguously determined by demanding that it gives the correct S-matrix of a \( T\overline{T} \)-deformed integrable field theory. Remarkably, the renormalized Lagrangian is qualitatively very different from its classical counterpart.
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Dey, A., Fortinsky, A. Perturbative renormalization of the \( \mathrm{T}\overline{\mathrm{T}} \)-deformed free massive Dirac fermion. J. High Energ. Phys. 2021, 200 (2021). https://doi.org/10.1007/JHEP12(2021)200
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DOI: https://doi.org/10.1007/JHEP12(2021)200