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Effective potential of scalar-tensor gravity with quartic self-interaction of scalar field

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arxiv 2109.09797 v1 pith:R3LRLLZO submitted 2021-09-20 gr-qc hep-th

classification gr-qchep-th
keywords fieldeffectivemodelpotentialgravityinstabilityparametersquartic
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One-loop effective potential of scalar-tensor gravity with a quartic scalar field self-interaction is evaluated up to first post-Minkowskian order. The potential develops an instability in the strong field regime which is expected from an effective theory. Depending on model parameters the instability region can be exponentially far in a strong field region. Possible applications of the model for inflationary scenarios are highlighted. It is shown that the model can enter the slow-roll regime with a certain set of parameters.

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