Can dark energy be dynamical?

We highlight shortcomings of the dynamical dark energy (DDE) paradigm. For parametric models with an equation of state, w(z) = w(0) + w(a)f(z), for a given function of redshift f(z), we show that the errors in wa are sensitive to f(z): if f(z) increases quickly with the redshift z, then errors in w(a) are smaller, and vice versa. As a result, parametric DDE models suffer from a degree of arbitrariness, and focusing too much on one model runs the risk that DDE may be overlooked. In particular, we show the ubiquitous ChevallierPolarski-Linder model is one of the least sensitive to DDE. We also comment on "wiggles" in w(z) uncovered in nonparametric reconstructions. Concretely, we isolate the most relevant Fourier modes in the wiggles, model them, and fit them back to the original data to confirm the wiggles at greater than or similar to 2 sigma. We delve into the assumptions going into the reconstruction and argue that the assumed correlations, which clearly influence the wiggles, place strong constraints on field theory models of DDE.