Effective Field Theories on the Jet Bundle
arXiv:2307.15742 · doi:10.1103/PhysRevLett.132.061602
Abstract
We develop a generalized field space geometry for higher-derivative scalar field theories, expressing scattering amplitudes in terms of a covariant geometry on the all-order jet bundle. The incorporation of spacetime and field derivative coordinates solves complications due to higher-order derivatives faced by existing approaches to field space geometry. We identify a jet bundle analog to the field space metric that, besides field redefinitions, exhibits invariance under total derivatives. The invariance consequently extends to its amplitude contributions and the canonical covariant geometry.
7+8 pages. v2: Journal version
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- Geometric duality between effective field theories I: scattering amplitudes
- Tame Complexity of Effective Field Theories in the Quantum Gravity Landscape