We provide a field–theoretic construction of Padmanabhan’s duality–invariant Feynman propagator for a massive point particle in Euclidean space Formula: see text. Padmanabhan’s propagator includes quantum–gravity effects due to the existence of a quantum of length Formula: see text. Including Formula: see text corrections, the corresponding field–theory model turns out to be a free, massive scalar defined in Formula: see text. The two additional dimensions with respect to the original Formula: see text provide the necessary room, so to speak, for quantum–gravity fluctuations.
Cordoba et al. (Wed,) studied this question.