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Related papers: Completing the Bootstrap Program for $\mathrm{T}\b…

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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…

High Energy Physics - Theory · Physics 2023-08-31 Olalla A. Castro-Alvaredo , Stefano Negro , Fabio Sailis

In this paper, we present a method to compute the minimal form factors (MFFs) of diagonal integrable field theories perturbed by generalized $T\bar{T}$ perturbations. Building on existing results by the same authors, these MFFs are…

High Energy Physics - Theory · Physics 2025-11-18 Fabio Sailis , Olalla A. Castro-Alvaredo , Stefano Negro

The subject of this thesis is the rigorous construction of QFT models with nontrivial interaction. Two different approaches in the framework of AQFT are discussed. On the one hand, an inverse scattering problem is considered. A given…

Mathematical Physics · Physics 2015-03-04 Sabina Alazzawi

Our understanding of irrelevant perturbations of integrable quantum field theories has greatly expanded over the last decade. In particular, we know that, from a scattering theory viewpoint at least, their effect is realised as a…

High Energy Physics - Theory · Physics 2025-05-06 Olalla A. Castro-Alvaredo , Stefano Negro , Fabio Sailis

In two recent papers we have proposed a program of study which allows us to compute the correlation functions of local and semi-local fields in generalised $\mathrm{T}\bar{\mathrm{T}}$-deformed integrable quantum field theories. This new…

High Energy Physics - Theory · Physics 2023-06-21 Olalla A. Castro-Alvaredo , Stefano Negro , Fabio Sailis

The form-factor bootstrap approach is applied to the perturbed minimal models $M_{2,2n+3}$ in the direction of the primary field $\phi_{1,3}$. These theories are integrable and contain $n$ massive scalar particles, whose $S$--matrix is…

High Energy Physics - Theory · Physics 2009-10-28 A. Koubek

The purpose of the "bootstrap program" is to construct integrable quantum field theories in 1+1 dimensions in terms of their Wightman functions explicitly. As an input the integrability and general assumptions of local quantum field…

High Energy Physics - Theory · Physics 2016-11-23 H. Babujian , M. Karowski

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,…

High Energy Physics - Theory · Physics 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.…

High Energy Physics - Theory · Physics 2025-01-22 Nicolò Brizio , Tommaso Morone , Roberto Tateo

We introduce and study a class of two-dimensional integrable quantum field theories that carry an internal $\mathbb{Z}_n$ structure. These models extend factorised scattering beyond the conventional framework, featuring both the usual…

High Energy Physics - Theory · Physics 2025-11-25 Nicolò Brizio , Tommaso Morone , Nicolò Primi , Roberto Tateo

That the exact quantum S-matrix of $\text{T}\bar{\text{T}}$-deformed field theories is known has interesting consequences for their perturbative renormalisation. Recent investigations into the interplay between renormalisation and…

High Energy Physics - Theory · Physics 2022-06-08 Subhroneel Chakrabarti , Arkajyoti Manna , Madhusudhan Raman

We consider a general (beyond $T\bar T$) deformation of the 2D $O(N+1)$ $\sigma$-model by the irrelevant dimension-four operators. The theory deformed in this most general way is not integrable, and the $S$-matrix loses its factorization…

High Energy Physics - Theory · Physics 2021-10-20 Jonas Linzen , Maxim V. Polyakov , Kirill M. Semenov-Tian-Shansky , Nika S. Sokolova

We calculate the $T\bar{T}$-deformed entanglement entropy for integrable quantum field theories (IQFTs) using the form factor bootstrap approach. We solve the form factor bootstrap axioms for the branch-point twist fields and obtain the…

High Energy Physics - Theory · Physics 2024-01-23 Miao He , Jue Hou , Yunfeng Jiang

In this proceeding contribution, we review a recently proposed method to compute the minimal form factors (MFFs) of diagonal integrable field theories perturbed by irrelevant fields of the $T\bar{T}$ family. Our construction generalizes…

High Energy Physics - Theory · Physics 2025-11-18 Olalla A. Castro-Alvaredo , Stefano Negro , Fabio Sailis

A computational scheme is developed to determine the response of a quantum field theory (QFT) with a factorized scattering operator under a variation of the Unruh temperature. To this end a new family of integrable systems is introduced,…

High Energy Physics - Theory · Physics 2009-10-31 M. R. Niedermaier

We provide a simple geometric meaning for deformations of so-called $T{\overline T}$ type in relativistic and non-relativistic systems. Deformations by the cross products of energy and momentum currents in integrable quantum field theories…

High Energy Physics - Theory · Physics 2022-07-06 John Cardy , Benjamin Doyon

We propose a general path-integral definition of two-dimensional quantum field theories deformed by an integrable, irrelevant vector operator constructed from the components of the stress tensor and those of a $U(1)$ current. The deformed…

High Energy Physics - Theory · Physics 2021-05-05 Tarek Anous , Monica Guica

We initiate the study of $T\bar T$-like irrelevant solvable deformations in quantum field theory with boundaries and defects. For this purpose, we employ a general formalism developed in the context of spin chains, which allows us to derive…

High Energy Physics - Theory · Physics 2022-05-11 Yunfeng Jiang , Florian Loebbert , De-liang Zhong

Integrable Quantum Field Theories can be solved exactly using bootstrap techniques based on their elastic and factorisable S-matrix. While knowledge of the scattering amplitudes reveals the exact spectrum of particles and their on-shell…

Statistical Mechanics · Physics 2023-03-30 M. Lencsés , G. Mussardo , G. Takács

We study integrable deformations of sine-Liouville conformal field theory. Every integrable perturbation of this model is related to the series of quantum integrals of motion (hierarchy). We construct the factorized scattering matrices for…

High Energy Physics - Theory · Physics 2017-10-16 Vladimir A. Fateev
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