Exact summation of leading logs around T T ¯ $$ T\overline{T} $$ deformation of O(N + 1)-symmetric 2D QFTs
Abstract We consider a general (beyond T T ¯ $$ T\overline{T} $$ ) deformation of the 2D O(N + 1) σ-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 properties. We perform the all-order summatio...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP05(2021)266 |
| _version_ | 1818832133086511104 |
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| author | Jonas Linzen Maxim V. Polyakov Kirill M. Semenov-Tian-Shansky Nika S. Sokolova |
| author_facet | Jonas Linzen Maxim V. Polyakov Kirill M. Semenov-Tian-Shansky Nika S. Sokolova |
| author_sort | Jonas Linzen |
| collection | DOAJ |
| description | Abstract We consider a general (beyond T T ¯ $$ T\overline{T} $$ ) deformation of the 2D O(N + 1) σ-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 properties. We perform the all-order summation of the leading infrared logs for the 2 → 2 scattering amplitude and provide the exact result for the 2 → 2 S-matrix in the leading logarithmic approximation. These results can provide us with new insights into the properties of the theories deformed by irrelevant operators more general than the T T ¯ $$ T\overline{T} $$ deformation. |
| first_indexed | 2024-12-19T01:58:11Z |
| format | Article |
| id | doaj.art-7ef6c8d99da14a1080c2b7c7f3ca734f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T01:58:11Z |
| publishDate | 2021-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7ef6c8d99da14a1080c2b7c7f3ca734f2022-12-21T20:41:08ZengSpringerOpenJournal of High Energy Physics1029-84792021-05-012021512210.1007/JHEP05(2021)266Exact summation of leading logs around T T ¯ $$ T\overline{T} $$ deformation of O(N + 1)-symmetric 2D QFTsJonas Linzen0Maxim V. Polyakov1Kirill M. Semenov-Tian-Shansky2Nika S. Sokolova3Ruhr University Bochum, Faculty of Physics and Astronomy, Institute of Theoretical Physics IIRuhr University Bochum, Faculty of Physics and Astronomy, Institute of Theoretical Physics IINational Research Centre “Kurchatov Institute”: Petersburg Nuclear Physics InstituteFaculty of Physics, St. Petersburg State UniversityAbstract We consider a general (beyond T T ¯ $$ T\overline{T} $$ ) deformation of the 2D O(N + 1) σ-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 properties. We perform the all-order summation of the leading infrared logs for the 2 → 2 scattering amplitude and provide the exact result for the 2 → 2 S-matrix in the leading logarithmic approximation. These results can provide us with new insights into the properties of the theories deformed by irrelevant operators more general than the T T ¯ $$ T\overline{T} $$ deformation.https://doi.org/10.1007/JHEP05(2021)266Effective Field TheoriesField Theories in Lower DimensionsRenormalization GroupSigma Models |
| spellingShingle | Jonas Linzen Maxim V. Polyakov Kirill M. Semenov-Tian-Shansky Nika S. Sokolova Exact summation of leading logs around T T ¯ $$ T\overline{T} $$ deformation of O(N + 1)-symmetric 2D QFTs Journal of High Energy Physics Effective Field Theories Field Theories in Lower Dimensions Renormalization Group Sigma Models |
| title | Exact summation of leading logs around T T ¯ $$ T\overline{T} $$ deformation of O(N + 1)-symmetric 2D QFTs |
| title_full | Exact summation of leading logs around T T ¯ $$ T\overline{T} $$ deformation of O(N + 1)-symmetric 2D QFTs |
| title_fullStr | Exact summation of leading logs around T T ¯ $$ T\overline{T} $$ deformation of O(N + 1)-symmetric 2D QFTs |
| title_full_unstemmed | Exact summation of leading logs around T T ¯ $$ T\overline{T} $$ deformation of O(N + 1)-symmetric 2D QFTs |
| title_short | Exact summation of leading logs around T T ¯ $$ T\overline{T} $$ deformation of O(N + 1)-symmetric 2D QFTs |
| title_sort | exact summation of leading logs around t t ¯ t overline t deformation of o n 1 symmetric 2d qfts |
| topic | Effective Field Theories Field Theories in Lower Dimensions Renormalization Group Sigma Models |
| url | https://doi.org/10.1007/JHEP05(2021)266 |
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