  In my textbook on Quantum Field Theory \cite{tpqft} and in a recent paper
\cite{tpejc2018}, I advocated a lattice regularization procedure for defining
the path integral for the relativistic particle, using the non-quadratic action
containing a square root. I also provided an interpretation of this result in
terms of the Jacobi action principle. This note clarifies several conceptual
and pedagogical issues related to this approach and highlights some interesting
open questions which this result leads to.
