A Fisher forecast shows LISA could bound graviton diffusion/drift parameters κ1, κ2 down to about 10^-56 kg m^2 s^-3, improving CMB bounds by 12 orders of magnitude, if a phase-transition or PBH background is detected.
Ground-state Wigner functional of linearized gravitational field
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abstract
The deformation quantization formalism is applied to the linearized gravitational field. Standard aspects of this formalism are worked out before the ground state Wigner functional is obtained. Finally, the propagator for the graviton is also discussed within the context of this formalism.
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Covariant diffusion and drift of the stochastic GW background with LISA
A Fisher forecast shows LISA could bound graviton diffusion/drift parameters κ1, κ2 down to about 10^-56 kg m^2 s^-3, improving CMB bounds by 12 orders of magnitude, if a phase-transition or PBH background is detected.