How-to Compute EPRL Spin Foam Amplitudes

Spin foam theory is a concrete framework for quantum gravity where numerical calculations of transition amplitudes are possible. Recently, the field became very active, but entry barrier steep, mainly because its unusual language and notions scattered around literature. This paper pedagogical guide to spin amplitude calculations. We show how write an EPRL-FK amplitude, from definition 2-complex implementation using sl2cfoam-next. reader explicit example balancing mathematical rigor with practical approach. discuss advantages disadvantages our strategy provide novel look at recently proposed approximation scheme.