Gauge-invariant coherent states for Loop Quantum Gravity II: Non-abelian gauge groups

Understand

This is the second paper concerning gauge-invariant coherent states for Loop Quantum Gravity.

• Here, we deal with the gauge group SU(2), this being a significant complication compared to the abelian U(1) case encountered in the previous article.
• We study gauge-invariant coherent states on certain special graphs by analytical and numerical methods.
• We find that their overlap is Gauss-peaked in gauge-invariant quantities, as long as states are not labeled by degenerate gauge orbits, i.e.