Gauge dependence of effective gravitational field

Details Gauge dependence of effective gravitational field Gauge dependence of effective gravitational field

1999-12-15

arxiv.org/abs/hep-th/9912129v2

Phys.Rev.D62:044043,2000

Physics

High Energy Physics

High Energy Physics - Theory

Revised version as published

Scientific paper

10.1103/PhysRevD.62.044043

The problem of gauge independent definition of effective gravitational field is considered from the point of view of the process of measurement. Under assumption that 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 non-local part of the one-loop effective apparatus action, describing the long-range quantum corrections, is calculated. The value of effective gravitational field inferred from the effective apparatus action is found to be gauge-dependent. A probable explanation of this result, referring to a peculiarity of the gravitational interaction, is given.

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