K-nonizing
arXiv:2509.07715 · doi:10.1016/j.physletb.2025.140118
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 -essence, non-linear electrodynamics, or theories. The equivalence can also be extended to the class of mimetic theories.
V2: matches version published in PLB. V1: 7 pages, 1 figure
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