Publications (21)
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…
Parametrization of holonomy-flux phase space in the Hamiltonian formulation of gauge field theory with loop quantum gravity as an exemplification
Gaoping Long
The Yang-Mills gauge theory is concerned since it can be used to explore the new theory beyond the standard model of particle physics and the higher dimensional loop quantu…
Twisted geometry coherent states in all dimensional loop quantum gravity: I. Construction and Peakedness properties
Gaoping Long, Xiangdong Zhang, Cong Zhang
A new family of coherent states for all dimensional loop quantum gravity are proposed, which is based on the generalized twisted geometry parametrization of the phase space of $SO(…
Superposition type coherent states in all dimensional loop quantum gravity
Gaoping Long, Cong Zhang, Xiangdong Zhang
We propose a new kind of coherent state for the general formulation of loop quantum gravity in the -dimensional space-time. Instead of Thiemann's coherent state fo…
General geometric operators in all dimensional loop quantum gravity
Gaoping Long, Yongge Ma
Two strategies for constructing general geometric operators in all dimensional loop quantum gravity are proposed. The different constructions are mainly come from the two different…
Polytopes in all dimensional loop quantum gravity
Gaoping Long, Yongge Ma
The Lasserre's reconstruction algorithm is extended to the D-polytopes with the construction of their shape space. Thus, the areas of d-skeletons can be expressed…
The effective dynamics of weak coupling loop quantum gravity
Gaoping Long, Yongge Ma
By taking the limit that Newton's Gravitational constant tends to zero, the weak coupling loop quantum gravity can be formulated as a gauge theory instead of the original…
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…
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…
Loop quantum gravity and cosmological constant
Xiangdong Zhang, Gaoping Long, Yongge Ma
An one-parameter regularization freedom of the Hamiltonian constraint for loop quantum gravity is analyzed. The corresponding spatially flat, homogenous and isotropic model include…
Energy conditions in new model of loop quantum cosmology
Gaoping Long, Yunlong Liu, Xiangdong Zhang
Recently, a de-Sitter epoch has been found in the new model of loop quantum cosmology which is governed by the scalar constraint with both of Euclidean and Lorentz terms. The singu…
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…
Geometric parametrization of phase space of all dimensional loop quantum gravity
Gaoping Long, Chun-Yen Lin
To clarify the geometric information encoded in the spin-network states for the higher dimensional loop quantum gravity, we generalize the twisted-geometry parametrizatio…
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…
On the gauge reduction with respect to simplicity constraint in all dimensional loop quantum gravity
Gaoping Long, Xiangdong Zhang
In this paper, we are going to discuss the gauge reduction with respect to the simplicity constraint in both classical and quantum theory of all dimensional loop quantum gravity. W…
The weak coupling theory of all dimensional loop quantum gravity
Gaoping Long, Chun-Yen Lin
The weak coupling loop quantum theory with Abelian gauge group provides us a new perspective to study the weak coupling properties of LQG. In this paper, the weak coupling theory o…
Coherent intertwiner solution of simplicity constraint in all dimensional loop quantum gravity
Gaoping Long, Chun-Yen Lin, Yongge Ma
We propose a new treatment of the quantum simplicity constraints appearing in the general formulation of loop quantum gravity for the -dimensional space-time.…
Perelomov type coherent states of SO(D + 1) in all dimensional loop quantum gravity
Gaoping Long, Norbert Bodendorfer
A comprehensive study of the application of SO coherent states of Perelomov type to loop quantum gravity in general spacetime dimensions is given in this paper.…
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 thermodynamics of isolated horizons in loop quantum gravity
Shupeng Song, Gaoping Long, Cong Zhang +1
The statistical mechanical calculation of the thermodynamical properties of non-rotating isolated horizons are studied in the loop quantum gravity framework. By employing the Hawki…
Twisted geometry coherent states in all dimensional loop quantum gravity: II. Ehrenfest Property
Gaoping Long
In the preceding paper of this series of articles we constructed the twisted geometry coherent states in all dimensional loop quantum gravity and established their peakedness prope…