RG stability of integrable fishnet models
Abstract We address the question of perturbative consistency in the scalar fishnet models presented by Caetano, Gürdoğan and Kazakov [1, 2]. We argue that their 3-dimensional ϕ 6 fishnet model becomes perturbatively stable under renormalization in the large N limit, in contrast to what happens in th...
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Online Access: | http://link.springer.com/article/10.1007/JHEP06(2017)012 |
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doaj-cf10d959fece44f2a9e68120943ec1ed2020-11-25T00:27:51ZengSpringerOpenJournal of High Energy Physics1029-84792017-06-012017612410.1007/JHEP06(2017)012RG stability of integrable fishnet modelsOhad Mamroud0Genís Torrents1Department of Particle Physics and Astrophysics, Weizmann Institute of ScienceDepartment of Particle Physics and Astrophysics, Weizmann Institute of ScienceAbstract We address the question of perturbative consistency in the scalar fishnet models presented by Caetano, Gürdoğan and Kazakov [1, 2]. We argue that their 3-dimensional ϕ 6 fishnet model becomes perturbatively stable under renormalization in the large N limit, in contrast to what happens in their 4-dimensional ϕ 4 fishnet model, in which double trace terms are known to be generated by the RG flow. We point out that there is a direct way to modify this second theory that protects it from such corrections. Additionally, we observe that the 6-dimensional ϕ 3 Lagrangian that spans an hexagonal integrable scalar fishnet is consistent at the perturbative level as well. The nontriviality and simplicity of this last model is illustrated by computing the anomalous dimensions of its tr ϕ i ϕ j operators to all perturbative orders.http://link.springer.com/article/10.1007/JHEP06(2017)0121/N ExpansionConformal Field TheoryIntegrable Field Theories |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ohad Mamroud Genís Torrents |
spellingShingle |
Ohad Mamroud Genís Torrents RG stability of integrable fishnet models Journal of High Energy Physics 1/N Expansion Conformal Field Theory Integrable Field Theories |
author_facet |
Ohad Mamroud Genís Torrents |
author_sort |
Ohad Mamroud |
title |
RG stability of integrable fishnet models |
title_short |
RG stability of integrable fishnet models |
title_full |
RG stability of integrable fishnet models |
title_fullStr |
RG stability of integrable fishnet models |
title_full_unstemmed |
RG stability of integrable fishnet models |
title_sort |
rg stability of integrable fishnet models |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2017-06-01 |
description |
Abstract We address the question of perturbative consistency in the scalar fishnet models presented by Caetano, Gürdoğan and Kazakov [1, 2]. We argue that their 3-dimensional ϕ 6 fishnet model becomes perturbatively stable under renormalization in the large N limit, in contrast to what happens in their 4-dimensional ϕ 4 fishnet model, in which double trace terms are known to be generated by the RG flow. We point out that there is a direct way to modify this second theory that protects it from such corrections. Additionally, we observe that the 6-dimensional ϕ 3 Lagrangian that spans an hexagonal integrable scalar fishnet is consistent at the perturbative level as well. The nontriviality and simplicity of this last model is illustrated by computing the anomalous dimensions of its tr ϕ i ϕ j operators to all perturbative orders. |
topic |
1/N Expansion Conformal Field Theory Integrable Field Theories |
url |
http://link.springer.com/article/10.1007/JHEP06(2017)012 |
work_keys_str_mv |
AT ohadmamroud rgstabilityofintegrablefishnetmodels AT genistorrents rgstabilityofintegrablefishnetmodels |
_version_ |
1725338143982354432 |