Comments on ``A note on first-order formalism and odd-derivative actions'' by S. Deser
arXiv:hep-th/0608078 · doi:10.1088/0264-9381/24/5/N01
Abstract
We argue that the obstacles to having a first-order formalism for odd-derivative actions presented in a pedagogical note by Deser are based on examples which are not first-order forms of the original actions. The general derivation of an equivalent first-order form of the original second-order action is illustrated using the example of topologically massive electrodynamics (TME). The correct first-order formulations of the TME model keep intact the gauge invariance presented in its second-order form demonstrating that the gauge invariance is not lost in the Ostrogradsky process.
6 pages, references are added