Asymptotics in an asymptotic CFT
Abstract In this work we illustrate the resurgent structure of the λ-deformation; a two-dimensional integrable quantum field theory that has an RG flow with an SU(N) k Wess-Zumino-Witten conformal fixed point in the UV. To do so we use modern matched asymptotic techniques applied to the thermodynami...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2023)112 |
| _version_ | 1827890578902220800 |
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| author | Lucas Schepers Daniel C. Thompson |
| author_facet | Lucas Schepers Daniel C. Thompson |
| author_sort | Lucas Schepers |
| collection | DOAJ |
| description | Abstract In this work we illustrate the resurgent structure of the λ-deformation; a two-dimensional integrable quantum field theory that has an RG flow with an SU(N) k Wess-Zumino-Witten conformal fixed point in the UV. To do so we use modern matched asymptotic techniques applied to the thermodynamic Bethe ansatz formulation to compute the free energy to 38 perturbative orders in an expansion of large applied chemical potential. We find numerical evidence for factorial asymptotic behaviour with both alternating and non-alternating character which we match to an analytic expression. A curiosity of the system is that the leading non-alternating factorial growth vanishing when k divides N. The ambiguities associated to Borel resummation of this series are suggestive of non-perturbative contributions. This is verified with an analytic study of the TBA system demonstrating a cancellation between perturbative and non-perturbative ambiguities. |
| first_indexed | 2024-03-12T21:11:42Z |
| format | Article |
| id | doaj.art-2f99585b1da74a84a3d929eaae6df751 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T21:11:42Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2f99585b1da74a84a3d929eaae6df7512023-07-30T11:04:55ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023412910.1007/JHEP04(2023)112Asymptotics in an asymptotic CFTLucas Schepers0Daniel C. Thompson1Department of Physics, Swansea UniversityDepartment of Physics, Swansea UniversityAbstract In this work we illustrate the resurgent structure of the λ-deformation; a two-dimensional integrable quantum field theory that has an RG flow with an SU(N) k Wess-Zumino-Witten conformal fixed point in the UV. To do so we use modern matched asymptotic techniques applied to the thermodynamic Bethe ansatz formulation to compute the free energy to 38 perturbative orders in an expansion of large applied chemical potential. We find numerical evidence for factorial asymptotic behaviour with both alternating and non-alternating character which we match to an analytic expression. A curiosity of the system is that the leading non-alternating factorial growth vanishing when k divides N. The ambiguities associated to Borel resummation of this series are suggestive of non-perturbative contributions. This is verified with an analytic study of the TBA system demonstrating a cancellation between perturbative and non-perturbative ambiguities.https://doi.org/10.1007/JHEP04(2023)112Field Theories in Lower DimensionsIntegrable Field TheoriesLarge-Order Behaviour of Perturbation TheoryRenormalons |
| spellingShingle | Lucas Schepers Daniel C. Thompson Asymptotics in an asymptotic CFT Journal of High Energy Physics Field Theories in Lower Dimensions Integrable Field Theories Large-Order Behaviour of Perturbation Theory Renormalons |
| title | Asymptotics in an asymptotic CFT |
| title_full | Asymptotics in an asymptotic CFT |
| title_fullStr | Asymptotics in an asymptotic CFT |
| title_full_unstemmed | Asymptotics in an asymptotic CFT |
| title_short | Asymptotics in an asymptotic CFT |
| title_sort | asymptotics in an asymptotic cft |
| topic | Field Theories in Lower Dimensions Integrable Field Theories Large-Order Behaviour of Perturbation Theory Renormalons |
| url | https://doi.org/10.1007/JHEP04(2023)112 |
| work_keys_str_mv | AT lucasschepers asymptoticsinanasymptoticcft AT danielcthompson asymptoticsinanasymptoticcft |