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arXiv · 2307.15742

Effective Field Theories on the Jet Bundle

Nathaniel Craig·Yu-Tse Lee
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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.

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Nathaniel Craig, Yu-Tse Lee. 2023-07-28. Effective Field Theories on the Jet Bundle. https://doi.org/10.1103/physrevlett.132.061602

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