  The worldline approach to Quantum Field Theory (QFT) allows to efficiently
compute several quantities, such as one-loop effective actions, scattering
amplitudes and anomalies, which are linked to particle path integrals on the
circle. A helpful tool in the worldline formalism on the circle, are
string-inspired (SI) Feynman rules, which correspond to a specific way of
factoring out a zero mode. In flat space this is known to generate no
difficulties. In curved space, it was shown how to correctly achieve the zero
mode factorization by applying BRST techniques to fix a shift symmetry. Using
special coordinate systems, such as Riemann Normal Coordinates, implies the
appearance of a non-linear map---originally introduced by Friedan---which must
be taken care of in order to obtain the correct results. In particular,
employing SI Feynman rules, the map introduces further interactions in the
worldline path integrals. In the present paper, we compute in closed form
Friedan's map for RNC coordinates in maximally symmetric spaces, and test the
path integral model by computing trace anomalies. Our findings match known
results.
