ADM Energy and Infra-gravitons
A P Balachandran, Babar Qureshi
TL;DR
This paper explores how infrared effects in quantum gravity, similar to those in QED and QCD, lead to a non-Fock Hilbert space representation, Lorentz symmetry breaking, and shifts in ADM energy due to infrared spin connections.
Contribution
It generalizes infrared phenomena known in QED and QCD to quantum gravity, analyzing the impact of infrared spin connections on ADM energy and the structure of the Hilbert space.
Findings
Infrared effects cause non-equivalent Hilbert space representations.
Lorentz symmetry is spontaneously broken by infrared phenomena.
Infrared spin connections shift ADM energy density and mass.
Abstract
In QED and QCD [1, 2], infrared photons and gluons alter the Hilbert space of the theory so that the in and out states live in a Hilbert space carrying a representation of basic commutation relations which is non-equivalent to the standard Fock representation, leading to spontaneous breakdown of Lorentz symmetry and physical effects. These results are generalized here to quantum gravity regarded as an SL(2; C) gauge theory and the shift of the ADM energy density and mass from infrared spin connection (the spin cloud) is discussed.
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