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arXiv · 2312.12078

$T\bar{T}$-deformation: a lattice approach

Yunfeng Jiang
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Abstract

Integrable quantum field theories can be regularized on the lattice while preserving integrability. The resulting theory on the lattice are integrable lattice models. A prototype of such a regularization is the correspondence between sine-Gordon model and 6-vertex model on a light-cone lattice. We propose an integrable deformation of the light-cone lattice model such that in the continuum limit we obtain the $T\bar{T}$-deformed sine-Gordon model. Under this deformation, the cut-off momentum becomes energy dependent while the underlying Yang-Baxter integrability is preserved. Therefore this deformation is integrable but non-local, similar to the $T\bar{T}$-deformation of quantum field theory.

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Yunfeng Jiang. 2023-12-19. $T\bar{T}$-deformation: a lattice approach. https://arxiv.org/abs/2312.12078

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