Low energy bounds on Poincare violation in causal set theory

Details Low energy bounds on Poincare violation in causal set theory Low energy bounds on Poincare violation in causal set theory

2006-07-20

arxiv.org/abs/astro-ph/0607485v3

Phys.Rev.D74:106001,2006

Astronomy and Astrophysics

Astrophysics

Additional discussion about behavior of alpha particles in nuclei added. Version matches that accepted in PRD

Scientific paper

10.1103/PhysRevD.74.106001

In the causal set approach to quantum gravity, Poincar\'{e} symmetry is modified by swerving in spacetime, induced by the random lattice discretization of the space-time structure. The broken translational symmetry at short distances is argued to lead to a residual diffusion in momentum space, whereby a particle can acquire energy and momentum by drift along its mass shell and a system in equilibrium can spontaneously heat up. We consider bounds on the rate of momentum space diffusion coming from astrophysical molecular clouds, nuclear stability and cosmological neutrino background. We find that the strongest limits come from relic neutrinos, which we estimate to constrain the momentum space diffusion constant by $k < 10^{-61} {\rm GeV}^3$ for neutrinos with masses $m_\nu > 0.01 {\rm eV}$, improving the previously quoted bounds by roughly 17 orders of magnitude.

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