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Gauge theories with general covariance are particularly reluctant toquantization. We discuss the example of the Hamiltonian formulation of therelativistic point particle that, despite its apparent simplicity, is ofcrucial importance since a number of point particle systems can be cast intothis form on a higher dimensional Rindler background, as recently pointed outby Hojman. It is shown that this system can be equipped with a hidden local,symmetry generating, constraint which on the one hand does not bother theclassical evolution and on the other hand simplifies the realization of thepath integral quantization. Even though the positive impact of the hiddensymmetry is more evident in the Lagrangian version of the theory, it is stillpresent through the suggested Hamiltonian constraint.

A hidden constraint on the Hamiltonian formulation of relativistic worldlines