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K-nonizing
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DOI：10.1016/j.physletb.2025.140118.png)
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Abstract
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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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