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gr-qc2024
Holonomy operator for spin connection and spatial scalar curvature operator in loop quantum gravity
Gaoping Long, Hongguang Liu
In this article we propose a new construction of the spatial scalar curvature operator in (1+3)-dimensional LQG based on the twisted geometry. The starting point of the constructio…
gr-qc2024
The semiclassical propagator for coherent state on twisted geometry
Gaoping Long, Hongguang Liu, Cong Zhang
A new set of twisted geometric variables is introduced to parametrize the holonomy-flux phase space in loop quantum gravity. It is verified that these new geometric variables, afte…
gr-qc2024
Entanglement entropy of coherent intertwiner in loop quantum gravity
Gaoping Long, Qian Chen, Jinsong Yang
In this paper, we carry out the entanglement calculations on the coherent intertwiners. We first consider the entanglement introduced by the group-averaging of the tensor-product t…