Numerical indications on the semiclassical limit of the flipped vertex

TL;DR

This paper presents a new technique using wave packet propagation to test the semiclassical limit of quantum gravity vertex amplitudes, applied to the flipped vertex in loop quantum gravity, showing promising preliminary results.

Contribution

It introduces a novel method for testing the semiclassical limit of quantum gravity vertices and applies it to the flipped vertex, revealing encouraging numerical evidence.

Findings

Preliminary numerical evidence supports the correct classical limit.

The technique effectively tests intertwiner dependence.

Results suggest the flipped vertex approaches classical behavior.

Abstract

We introduce a technique for testing the semiclassical limit of a quantum gravity vertex amplitude. The technique is based on the propagation of a semiclassical wave packet. We apply this technique to the newly introduced "flipped" vertex in loop quantum gravity, in order to test the intertwiner dependence of the vertex. Under some drastic simplifications, we find very preliminary, but surprisingly good numerical evidence for the correct classical limit.