Speaker
Description
One way to obtain a continuum limit of Spin Foams is to use a field-theory partitition function to generate triangulations as Feynman diagrams and tune to criticality. This philosophy works well for Matrix-Models with a limit to 2D Quantum Gravity and these have a well established generalization to Tensorial Group Field Theory (TGFT) generating 4D triangulations. However, finding a 4D continuum geometry at criticality remains an open challenge.
In this contribution we report on recent progress with Leonardo Juliano in the systematic exploration of the TGFT phase space. We show how already in the simplest (so-called melonic) regime of TGFT renormalization group flows to non-perturbative fixed points presenting various types of triangulation ensemble occur, and discuss strategies to approach the question of a 4D continuum limit.
