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Matter field infinities in axial gauge gravity
journal contributionposted on 2023-05-18, 05:01 authored by Robert DelbourgoRobert Delbourgo, Winter, BD
The one-loop infinities for scalar, spinor and vector fields due to gravitational interactions are computed in the axial gravity gauge for the Einstein-Hilbert action. The results reveal an axis dependence, in addition to their expected non-renormalisability, which is expected to get progressively worse in higher orders of perturbation theory. This means that gauge equivalences between covariant and non-covariant gauges are impossible in ordinary quantum gravity (unlike renormalisable theories such as flavourdynamics or chromodynamics) unless cancellation of infinities occurs through some supersymmetric mechanism or unless a renormalisable conformal version of gravity is adopted.
Publication titleJournal of Physics A: Mathematical and General
Department/SchoolSchool of Natural Sciences
PublisherIop Publishing Ltd
Place of publicationDirac House, Temple Back, Bristol, England, Bs1 6Be