Expectation value of composite field $T\bar{T}$ in two-dimensional quantum field theory

Abstract

I show that the expectation value of the composite field $T\bar{T}$, built from the components of the energy-momentum tensor, is expressed exactly through the expectation value of the energy-momentum tensor itself. The relation is derived in two-dimensional quantum field theory under broad assumptions, and does not require integrability.

12 pages

Cited by in corpus (30)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
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• Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space
• Geometrizing $T\bar{T}$
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Aspects of Hyperscaling Violating Geometries at Finite Cutoff
• Sequential Flows by Irrelevant Operators
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• The composite operator T\bar{T} in sinh-Gordon and a series of massive minimal models
• Isomorphism of critical and off-critical operator spaces in two-dimensional quantum field theory
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• Lax Connections in $T\bar{T}$-deformed Integrable Field Theories
• Freelance Holography, Part I: Setting Boundary Conditions Free in Gauge/Gravity Correspondence
• An integrable spin chain with Hilbert space fragmentation and solvable real time dynamics
• States, symmetries and correlators of $T\bar{T}$ and $J\bar{T}$ symmetric orbifolds
• Freelance Holography, Part II: Moving Boundary in Gauge/Gravity Correspondence
• $T\overline{T}$ deformations and the width of fundamental particles
• The complex sinh-Gordon model: form factors of descendant operators and current-current perturbations
• Asymptotic Symmetries in the TsT/$T\bar{T}$ Correspondence
• Locality and Conserved Charges in $T\overline{T}$-Deformed CFTs
• Universal thermalization dynamics in (1+1)d QFTs
• A $T\bar{T}$-like deformation of the Skyrme model and the Heisenberg model of nucleon-nucleon scattering
• On correlation functions in models related to the Temperley-Lieb algebra
• Scattering matrix for current-current deformations of the (2,2s+1) RSOS models
• Burgers Equation vs. Large $N$ Limit in $T\bar{T}$-deformed $O(N)$ Vector Model
• On correlators in $T\bar{T}$-deformed conformal field theories
• Cost of holographic path integrals
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality
• Exact summation of leading logs around $T\bar{T}$ deformation of $O(N+1)$-symmetric 2D QFTs