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arXiv · 2309.15584

Nonperturbative aspects of two-dimensional $T\bar{T}$-deformed scalar theory from functional renormalization group

Jie Liu·Junichi Haruna·Masatoshi Yamada
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Abstract

We study $T\bar{T}$-deformed $O(N)$ scalar field theory in two-dimensional spacetime using the functional renormalization group. We derive the $\beta$ 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 $T\bar T$-deformed scalar field theory in two-dimensional spacetime could be defined as a nonperturbatively renormalizable theory.

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Jie Liu, Junichi Haruna, Masatoshi Yamada. 2023-09-27. Nonperturbative aspects of two-dimensional $T\bar{T}$-deformed scalar theory from functional renormalization group. https://doi.org/10.1103/physrevd.109.065016

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