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Deformations of many-body Hamiltonians by certain products of conserved currents, referred to as $T\bar{T}$-deformations, are known to preserve integrability. Generalised $T\bar{T}$-deformations, based on the complete space of pseudolocal…

统计力学 · 物理学 2023-12-25 Benjamin Doyon , Friedrich Hübner , Takato Yoshimura

We introduce an extension of the generalised $T\bar{T}$-deformation described by Smirnov-Zamolodchikov, to include the complete set of extensive charges. We show that this gives deformations of S-matrices beyond CDD factors, generating…

高能物理 - 理论 · 物理学 2022-09-28 Benjamin Doyon , Joseph Durnin , Takato Yoshimura

This review explores recent advances in the theory of $T\bar{T}$ deformation, an irrelevant yet solvable deformation of quantum field theories defined via the quadratic form of the energy-momentum tensor. It addresses classical and quantum…

高能物理 - 理论 · 物理学 2025-05-13 Song He , Yi Li , Hao Ouyang , Yuan Sun

In this paper, we continue the study of $T\bar{T}$ deformation in $d=1$ quantum mechanical systems and propose possible analogues of $J\bar{T}$ deformation and deformation by a general linear combination of $T\bar{T}$ and $J\bar{T}$ in…

高能物理 - 理论 · 物理学 2020-12-30 Soumangsu Chakraborty , Amiya Mishra

The study of $\mathrm{T}\overline{\mathrm{T}}$-perturbed quantum field theories is an active area of research with deep connections to fundamental aspects of the scattering theory of integrable quantum field theories, generalised Gibbs…

高能物理 - 理论 · 物理学 2023-08-31 Olalla A. Castro-Alvaredo , Stefano Negro , Fabio Sailis

We revisit the results of Zamolodchikov and others on the deformation of two-dimensional quantum field theory by the determinant $\det T$ of the stress tensor, commonly referred to as $T\overline T$. Infinitesimally this is equivalent to a…

高能物理 - 理论 · 物理学 2018-11-02 John Cardy

We introduce and study a novel class of classical integrable many-body systems obtained by generalized $T\bar{T}$-deformations of free particles. Deformation terms are bilinears in densities and currents for the continuum of charges…

统计力学 · 物理学 2024-06-25 Benjamin Doyon , Friedrich Hübner , Takato Yoshimura

We propose a generalisation of the $T \bar{T}$ deformation to curved spaces by defining, and solving, a suitable flow equation for the partition function. We provide evidence it is well-defined at the quantum level. This proposal…

高能物理 - 理论 · 物理学 2019-12-20 Edward A. Mazenc , Vasudev Shyam , Ronak M Soni

It was noticed many years ago, in the framework of massless RG flows, that the irrelevant composite operator $T \bar{T}$, built with the components of the energy-momentum tensor, enjoys very special properties in 2D quantum field theories,…

高能物理 - 理论 · 物理学 2016-11-23 Andrea Cavaglià , Stefano Negro , István M. Szécsényi , Roberto Tateo

The irrelevant composite operator $T\bar{T}$, constructed from components of the stress-energy tensor, exhibits unique properties in two-dimensional quantum field theories and represents a distinctive form of integrable deformation.…

高能物理 - 理论 · 物理学 2025-01-22 Nicolò Brizio , Tommaso Morone , Roberto Tateo

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…

高能物理 - 理论 · 物理学 2023-05-17 Vasudev Shyam , Yigit Yargic

We study the $T\overline{T}$ deformation of two dimensional quantum field theories from a Hamiltonian point of view, focusing on aspects of the theory in Lorentzian signature. Our starting point is a simple rewriting of the spatial integral…

高能物理 - 理论 · 物理学 2020-11-25 Jorrit Kruthoff , Onkar Parrikar

$\mathrm{T}\overline{\mathrm{T}}$ deformation was originally proposed as an irrelevant solvable deformation for 2d relativistic quantum field theories (QFTs). The same family of deformations can also be defined for integrable quantum spin…

高能物理 - 理论 · 物理学 2022-06-15 Yunfeng Jiang

The $T \overline{T}$ operator provides a universal irrelevant deformation of two-dimensional quantum field theories with remarkable properties, including connections to both string theory and holography beyond $\mathrm{AdS}$ spacetimes. In…

高能物理 - 理论 · 物理学 2022-05-18 Christian Ferko

The relationship between $T\bar{T}$ deformations and the uniform light-cone gauge, first noted in arXiv:1804.01998, provides a powerful generating technique for deformed models. We recall this construction, distinguishing between changes of…

高能物理 - 理论 · 物理学 2020-04-01 Alessandro Sfondrini , Stijn J. van Tongeren

In recent years a considerable amount of attention has been devoted to the investigation of 2D quantum field theories perturbed by certain types of irrelevant operators. These are the composite field $\mathrm{T}\bar{\mathrm{T}}$ -…

高能物理 - 理论 · 物理学 2024-03-18 Olalla A. Castro-Alvaredo , Stefano Negro , Fabio Sailis

It has been recently discovered that the $\text{T}\bar{\text{T}}$ deformation is closely-related to Jackiw-Teitelboim gravity. At classical level, the introduction of this perturbation induces an interaction between the stress-energy tensor…

高能物理 - 理论 · 物理学 2020-01-08 Riccardo Conti , Stefano Negro , Roberto Tateo

The $T \bar T$ deformation of a 2 dimensional field theory living on a curved spacetime is equivalent to coupling the undeformed field theory to 2 dimensional `ghost-free' massive gravity. We derive the equivalence classically, and using a…

高能物理 - 理论 · 物理学 2020-07-15 Andrew J. Tolley

Complexity in quantum physics measures how difficult a state can be reached from a reference state and more precisely it is the number of fundamental unitary gates we have to operate to transform the reference state to the state we are…

高能物理 - 理论 · 物理学 2020-06-05 Hao Geng

We consider the most general set of integrable deformations extending the $T\bar{T}$ deformation of two-dimensional relativistic QFTs. They are CDD deformations of the theory's factorised S-matrix related to the higher-spin conserved…

高能物理 - 理论 · 物理学 2020-05-27 Guzmán Hernández-Chifflet , Stefano Negro , Alessandro Sfondrini
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