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.
arXiv comment7+8 pages. v2: Journal version
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Cited by in corpus (7)
- Jet Bundle Geometry of Scalar Field Theories
- Effective Field Theory for Spontaneously Broken Symmetry
- Renormalising the Field-Space Geometry
- Field Space Geometry and Nonlinear Supersymmetry
- Geometry of Classical Nambu-Goldstone Fields
- Geometric duality between effective field theories I: scattering amplitudes
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