$T\bar{T}$ deformed scattering happens within matrices

Abstract

We show the $T\bar{T}$ deformation of two-dimensional quantum field theories is equivalent to replacing the spacetime dependence of the fields with dependence on the indices of infinitely large matrices. We show how this correspondence explains the CDD phase dressing of the $S$-matrix and the general formula for the deformation of arbitrary correlation functions. We also describe how the Moyal deformation of self-dual gravity is a $T\bar{T}$ deformation of the theory described by the Chalmers-Siegel action, where the $T\bar{T}$ deformation is defined on the two-dimensional plane of interactions.

arXiv comment16 pages

References in corpus (27)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Asymptotic Fragility, Near $Ad{S}_2$ Holography and $T\bar{T}$
• Solving the Simplest Theory of Quantum Gravity
• The $T\overline{T}$ deformation of quantum field theory as random geometry
• $T\bar{T}$ Partition Function from Topological Gravity
• The self-dual sector of QCD amplitudes
• An integrable Lorentz-breaking deformation of two-dimensional CFTs
• The $\text{T}\bar{\text{T}}$ perturbation and its geometric interpretation
• Modular invariance and uniqueness of $T\bar{T}$ deformed CFT
• $T\bar{T}$-deformations in closed form
• $T\bar{T}$ and the mirage of a bulk cutoff
• $T\bar{T}$ deformed partition functions
• Construction of Quantum Field Theories with Factorizing S-Matrices
• $T\bar{T}$ and EE, with implications for (A)dS subregion encodings
• $T\bar{T}$ Deformations, Massive Gravity and Non-Critical Strings
• de Sitter Microstates from $T\bar{T}+{\Lambda }_2$ and the Hawking-Page Transition
• Warped Convolutions, Rieffel Deformations and the Construction of Quantum Field Theories
• Celestial chiral algebras, colour-kinematics duality and integrability
• $T\bar{T}$-Deformed Actions and (1,1) Supersymmetry
• The G_Newton --> 0 Limit of Euclidean Quantum Gravity
• Noncommutative Deformations of Wightman Quantum Field Theories
• $T\bar{T}+{\Lambda }_2$ Deformed CFT on the Stretched dS${}_3$ Horizon
• Building Tensor Networks for Holographic States
• A Path Integral Realization of Joint $J\bar{T}$, $T\bar{J}$ and $T\bar{T}$ Flows
• $T\overline{T}$-deformed modular forms
• Chiral Decoupling from Irrelevant Deformations