  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.
