paper

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 $k$ -essence, non-linear electrodynamics, or $f (R)$ theories. The equivalence can also be extended to the class of mimetic theories.

V2: matches version published in PLB. V1: 7 pages, 1 figure