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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.18740 |
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| _version_ | 1866910623602835456 |
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| author | Ferko, Christian Hou, Jue Morone, Tommaso Tartaglino-Mazzucchelli, Gabriele Tateo, Roberto |
| author_facet | Ferko, Christian Hou, Jue Morone, Tommaso Tartaglino-Mazzucchelli, Gabriele Tateo, Roberto |
| contents | We study ${T\overline{T}}$-like deformations of $d>2$ Yang-Mills theories. The standard ${T\overline{T}}$ flows lead to multi-trace Lagrangians, and the non-Abelian gauge structures make it challenging to find Lagrangians in a closed form. However, within the geometric approach to ${T\overline{T}}$, we obtain the closed-form solution to the metric flow and stress-energy tensor, and show that instanton solutions are undeformed. We also introduce new symmetrised single-trace ${T\overline{T}}$-like deformations, whose solutions in $d=4$ include the non-Abelian Born-Infeld Lagrangian proposed by Tseytlin in 1997. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18740 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | ${T\overline{T}}$-like Flows of Yang-Mills Theories Ferko, Christian Hou, Jue Morone, Tommaso Tartaglino-Mazzucchelli, Gabriele Tateo, Roberto High Energy Physics - Theory We study ${T\overline{T}}$-like deformations of $d>2$ Yang-Mills theories. The standard ${T\overline{T}}$ flows lead to multi-trace Lagrangians, and the non-Abelian gauge structures make it challenging to find Lagrangians in a closed form. However, within the geometric approach to ${T\overline{T}}$, we obtain the closed-form solution to the metric flow and stress-energy tensor, and show that instanton solutions are undeformed. We also introduce new symmetrised single-trace ${T\overline{T}}$-like deformations, whose solutions in $d=4$ include the non-Abelian Born-Infeld Lagrangian proposed by Tseytlin in 1997. |
| title | ${T\overline{T}}$-like Flows of Yang-Mills Theories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2409.18740 |