| Preprint | |
| Report number | CERN-TH-2024-176 ; arXiv:2410.21378 |
| Title | What is the Geometry of Effective Field Theories? |
| Author(s) | Cohen, Timothy (CERN ; EPFL, Lausanne, LPTP ; Oregon U.) ; Lu, Xiaochuan (UC, San Diego (main)) ; Zhang, Zhengkang (U. Utah, Salt Lake City) |
| Imprint | 2024-10-28 |
| Number of pages | 7 |
| Note | 7 pages + supplemental material |
| Subject category | hep-ph ; Particle Physics - Phenomenology ; hep-th ; Particle Physics - Theory |
| Abstract | 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. |
| Other source | Inspire |
| Copyright/License | preprint: (License: arXiv nonexclusive-distrib 1.0) |
Element opprettet 2024-11-01, sist endret 2024-12-06