What is the Geometry of Effective Field Theories?
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917982221893632 |
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| author | Cohen, Timothy Lu, Xiaochuan Zhang, Zhengkang |
| author_facet | Cohen, Timothy Lu, Xiaochuan Zhang, Zhengkang |
| contents | We elaborate on a recently proposed geometric framework for scalar effective field theories. Starting from the action, a metric can be identified that enables the construction of geometric quantities on the associated functional manifold. These objects transform covariantly under general field redefinitions that relate different operator bases, including those involving derivatives. We present a novel geometric formula for the amplitudes of the theory, where the vertices in Feynman diagrams are replaced by their geometrized counterparts. This makes the on-shell covariance of amplitudes manifest, providing the link between functional geometry and effective field theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21378 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | What is the Geometry of Effective Field Theories? Cohen, Timothy Lu, Xiaochuan Zhang, Zhengkang High Energy Physics - Theory High Energy Physics - Phenomenology We elaborate on a recently proposed geometric framework for scalar effective field theories. Starting from the action, a metric can be identified that enables the construction of geometric quantities on the associated functional manifold. These objects transform covariantly under general field redefinitions that relate different operator bases, including those involving derivatives. We present a novel geometric formula for the amplitudes of the theory, where the vertices in Feynman diagrams are replaced by their geometrized counterparts. This makes the on-shell covariance of amplitudes manifest, providing the link between functional geometry and effective field theories. |
| title | What is the Geometry of Effective Field Theories? |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2410.21378 |