Gauge dependence of effective gravitational field

The problem of the gauge independent definition of atl effective gravitational field is considered from the Point of view of the process of measurement. Under the assumption that the dynamics of the measuring apparatus can be described by the ordinary classical action, effective Slavnov identities for the generating functionals of Green functions corresponding to a system of arbitrary gravitational field measured by means of scalar particles are obtained. With the help of these identities, the total gauge dependence of the nonlocal part of the one-loop effective apparatus action, describing the long-range quantum corrections, is calculated. The value of the effective gravitational field, found from the effective apparatus action, turns out to be gauge dependent. A probable explanation for this result referring to a peculiarity of the gravitational interaction, is given.