Abstract

We calculate all one-loop divergences for charged scalar and vector mesons interacting with each other and with the quantized gravitational field in the presence of a ϕ 4 -interaction. We show that these divergences do not cancel among themselves on or off-mass-shell. We conclude that the inclusion of other fields (scalar or vector mesons) does not help the situation and unified models of this nature have proved to be unsuccessful for solving the problem of non-renormalizability of the gravitational field.

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