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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...
Autores principales: | , , |
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Lenguaje: | eng |
Publicado: |
2019
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/JHEP03(2020)092 http://cds.cern.ch/record/2711532 |
_version_ | 1780965247600820224 |
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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} $-deformation for integrable spin chains, and argue that this observation leads to interesting new avenues to explore. |
id | cern-2711532 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2019 |
record_format | invenio |
spelling | cern-27115322023-10-04T07:45:33Zdoi:10.1007/JHEP03(2020)092http://cds.cern.ch/record/2711532engPozsgay, BalázsJiang, YunfengTakács, Gábor$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 |
work_keys_str_mv | AT pozsgaybalazs tbartdeformationandlongrangespinchains AT jiangyunfeng tbartdeformationandlongrangespinchains AT takacsgabor tbartdeformationandlongrangespinchains |