5 papers
Expansion operators in spherically symmetric loop quantum gravity
Xiaotian Fei, Gaoping Long, Yongge Ma +1
The ingoing and outgoing null expansions associated to a spatial 2-sphere are quantized in the spherically symmetric model of loop quantum gravity. It is shown that the resulting e…
Quantum Geometry Effects in Quantum Field Theory: Hamiltonian constraint Generates Gravity-Matter Entanglement
Gaoping Long, Cong Zhang
In this paper, we address a foundational challenge in quantum field theory on curved spacetime by developing a consistent framework within loop quantum gravity. We introduce a meth…
Quantum representation of reduced twisted geometry in loop quantum gravity
Gaoping Long, Cong Zhang, Hongguang Liu
In this article, the quantum representation of the algebra among reduced twisted geometries (with respect to the Gauss constraint) is constructed in the gauge invariant Hilbert spa…
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…
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…