In a two-scalar model, one-loop diagrams with mixed light and heavy internal lines collapse to local tadpole contributions in the infrared, matching the effective low-energy quartic theory in flat and weakly curved spacetime.
Polemic Notes On IR Perturbative Quantum Gravity
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abstract
Quantum gravity is an important and to great extent unsolved problem. There are many different approaches to the quantization of the metric field, both perturbative and non-perturbative. The current situation in the perturbative quantum gravity is characterized by a number of different models, some of them well elaborated but no one perfect nor mathematically neither phenomenologically, mainly because there are no theoretically derived observables which can be experimentally measured. A very interesting one is an effective approach which separates the low-energy quantum effects from the UV sector. In this way one can calculate quantities which are potentially relevant for establishing certain universal features of quantum gravity. In this presentation we give a polemic consideration of the effective approach to the infrared quantum gravity. We question the validity of the recent results in this area and also discuss how one can check the alleged universality of the effective approach.
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Scalar model of effective field theory in curved space
In a two-scalar model, one-loop diagrams with mixed light and heavy internal lines collapse to local tadpole contributions in the infrared, matching the effective low-energy quartic theory in flat and weakly curved spacetime.