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$T\bar T$-deformation and long range spin chains

We point out that two classes of deformations of integrable models, developed completely independently, have deep connections and share the same algebraic origin. One class includes the $ T\overline{T} $-deformation of 1+1 dimensional integrable quantum field theory and related solvable irrelevant d...

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Detalles Bibliográficos
Autores principales: Pozsgay, Balázs, Jiang, Yunfeng, Takács, Gábor
Lenguaje:eng
Publicado: 2019
Materias:
Acceso en línea:https://dx.doi.org/10.1007/JHEP03(2020)092
http://cds.cern.ch/record/2711532
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author Pozsgay, Balázs
Jiang, Yunfeng
Takács, Gábor
author_facet Pozsgay, Balázs
Jiang, Yunfeng
Takács, Gábor
author_sort Pozsgay, Balázs
collection CERN
description We point out that two classes of deformations of integrable models, developed completely independently, have deep connections and share the same algebraic origin. One class includes the $ T\overline{T} $-deformation of 1+1 dimensional integrable quantum field theory and related solvable irrelevant deformations proposed recently. The other class is a specific type of long range integrable deformation of quantum spin chains introduced a decade ago, in the context of $ \mathcal{N} $ = 4 super-Yang-Mills theory. We show that the detailed structures of the two deformations are formally identical and therefore share many features. Both deformations preserve integrability and lead to non-local deformed theories, resulting in a change of the corresponding factorized S-matrices. We also prove a factorisation formula for the expectation value of the operators which trigger the deformation on the lattice; similar results in quantum field theory play an essential role in the solvability of such deformations. We point out that the long range deformation is a natural counterpart of the $ T\overline{T} $-deformation for integrable spin chains, and argue that this observation leads to interesting new avenues to explore.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2019
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spelling cern-27115322023-10-04T07:45:33Zdoi:10.1007/JHEP03(2020)092http://cds.cern.ch/record/2711532engPozsgay, BalázsJiang, YunfengTakács, Gábor$T\bar T$-deformation and long range spin chainsnlin.SINonlinear Systemscond-mat.stat-mechhep-thParticle Physics - TheoryWe point out that two classes of deformations of integrable models, developed completely independently, have deep connections and share the same algebraic origin. One class includes the $ T\overline{T} $-deformation of 1+1 dimensional integrable quantum field theory and related solvable irrelevant deformations proposed recently. The other class is a specific type of long range integrable deformation of quantum spin chains introduced a decade ago, in the context of $ \mathcal{N} $ = 4 super-Yang-Mills theory. We show that the detailed structures of the two deformations are formally identical and therefore share many features. Both deformations preserve integrability and lead to non-local deformed theories, resulting in a change of the corresponding factorized S-matrices. We also prove a factorisation formula for the expectation value of the operators which trigger the deformation on the lattice; similar results in quantum field theory play an essential role in the solvability of such deformations. We point out that the long range deformation is a natural counterpart of the $ T\overline{T} $-deformation for integrable spin chains, and argue that this observation leads to interesting new avenues to explore.We point out that two classes of deformations of integrable models, developed completely independently, have deep connections and share the same algebraic origin. One class includes the $T\bar T$-deformation of 1+1 dimensional integrable quantum field theory and related solvable irrelevant deformations proposed recently. The other class is a specific type of long range integrable deformation of quantum spin chains introduced a decade ago, in the context of $\mathcal{N} = 4$ super-Yang-Mills theory. We show that the detailed structures of the two deformations are formally identical and therefore share many features. Both deformations preserve integrability and lead to non-local deformed theories, resulting in a change of the corresponding factorized S-matrices. We also prove a factorisation formula for the expectation value of the operators which trigger the deformation on the lattice; similar results in quantum field theory play an essential role in the solvability of such deformations. We point out that the long range deformation is a natural counterpart of the $T\bar T$-deformation for integrable spin chains, and argue that this observation leads to interesting new avenues to explore.arXiv:1911.11118CERN-TH-2019-200oai:cds.cern.ch:27115322019-11-25
spellingShingle nlin.SI
Nonlinear Systems
cond-mat.stat-mech
hep-th
Particle Physics - Theory
Pozsgay, Balázs
Jiang, Yunfeng
Takács, Gábor
$T\bar T$-deformation and long range spin chains
title $T\bar T$-deformation and long range spin chains
title_full $T\bar T$-deformation and long range spin chains
title_fullStr $T\bar T$-deformation and long range spin chains
title_full_unstemmed $T\bar T$-deformation and long range spin chains
title_short $T\bar T$-deformation and long range spin chains
title_sort $t\bar t$-deformation and long range spin chains
topic nlin.SI
Nonlinear Systems
cond-mat.stat-mech
hep-th
Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP03(2020)092
http://cds.cern.ch/record/2711532
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AT jiangyunfeng tbartdeformationandlongrangespinchains
AT takacsgabor tbartdeformationandlongrangespinchains