We study TT̄-deformed $O(N)$ scalar field theory in two-dimensional spacetime using the functional renormalization group. We derive the β functions for the couplings in the system and explore the fixed points. In addition to the Gaussian (trivial) fixed point, we find a nontrivial fixed point at which a new universality class exists. The deformation parameter becomes relevant at the nontrivial fixed point. Therefore, the TT̄-deformed scalar field theory in two-dimensional spacetime could be defined as a nonperturbatively renormalizable theory.
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Liu et al. (2024) studied this question.
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