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Gauge dependence of effective gravitational field. II. Pointlike measuring device
Phys. Rev. D 69, 024005 – Published 21 January, 2004
DOI: https://doi.org/10.1103/PhysRevD.69.024005
Abstract
The role of the measurement process in resolving the gauge ambiguity of the effective gravitational potential is reexamined. The motion of a classical pointlike particle in the field of an arbitrary linear source and in the field of another pointlike particle is investigated. It is shown that in both cases the value of the gravitational field read off from the one-loop effective action of the testing particle depends on the Feynman weighting parameter. The found dependence is essential in that it persists in the expression for the gravitational potential. This result disproves the general conjecture about the gauge independence of the effective equations of motion of classical pointlike particles.
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