A spin foam model without bubble divergences
From MaRDI portal
Publication:5933213
DOI10.1016/S0550-3213(01)00030-XzbMATH Open1097.83517arXivgr-qc/0006107WikidataQ126773860 ScholiaQ126773860MaRDI QIDQ5933213
Author name not available (Why is that?)
Publication date: 7 June 2001
Published in: (Search for Journal in Brave)
Abstract: We present a spin foam model in which the fundamental ``bubble amplitudes (the analog of the one-loop corrections in quantum field theory) are finite as the cutoff is removed. The model is a natural variant of the field theoretical formulation of the Barrett-Crane model. As the last, the model is a quantum BF theory plus an implementation of the constraint that reduces BF theory to general relativity. We prove that the fundamental bubble amplitudes are finite by constructing an upper bound, using certain inequalities satisfied by the Wigner (3n)j-symbols, which we derive in the paper. Finally, we present arguments in support of the conjecture that the bubble diagrams of the model are finite at all orders.
Full work available at URL: https://arxiv.org/abs/gr-qc/0006107
No records found.
No records found.
This page was built for publication: A spin foam model without bubble divergences
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5933213)
