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arXiv · 2509.07715

K-nonizing

Jose Beltrán Jiménez·Teodor Borislavov Vasilev·Darío Jaramillo-Garrido·Antonio L. Maroto·Prado Martín-Moruno
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Abstract

We unveil the dynamical equivalence of field theories with non-canonical kinetic terms and canonical theories with a volume element invariant under transverse diffeomorphisms. The proof of the equivalence also reveals a subtle connection between the standard Legendre transformation and the so-called Clairaut equation. Explicit examples of canonizable theories include classes of $k$-essence, non-linear electrodynamics, or $f(R)$ theories. The equivalence can also be extended to the class of mimetic theories.

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Jose Beltrán Jiménez, Teodor Borislavov Vasilev, Darío Jaramillo-Garrido, Antonio L. Maroto, Prado Martín-Moruno. 2025-09-09. K-nonizing. https://doi.org/10.1016/j.physletb.2025.140118

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