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Infrared divergences in the EPRL-FK Spin Foam model. (arXiv:1803.00835v2 [gr-qc] UPDATED)
来源于:arXiv
We provide an algorithm to estimate the divergence degree of the Lorentzian
EPRL-FK spin foam amplitudes for arbitrary 2-complexes. We focus on the
"self-energy" and "vertex renormalization" diagrams and find an upper bound
estimate. We argue that our upper bound must be close to the actual value, and
explain what numerical improvements are needed to verify this numerically. For
the self-energy, this turns out to be significantly more divergent than the
lower bound estimate present in the literature. We support the validity of our
algorithm using 3-stranded versions of the amplitudes (corresponding to a toy
3d model) for which our estimates are confirmed numerically. We also apply our
methods to the simplified EPRLs model, finding a completely convergent
behavior, and to BF theory, independently recovering the divergent estimates
present in the literature. 查看全文>>