期刊
PHYSICAL REVIEW D
卷 89, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.89.064064
关键词
-
资金
- NSF [PHY-1205388]
- Pennsylvania State University
We study and compare the spectra of geometric operators (length and area) in the quantum kinematics of two formulations of three-dimensional Lorentzian loop quantum gravity. In the SU(2) Ashtekar-Barbero framework, the spectra are discrete and depend on the Barbero-Immirzi parameter gamma exactly like in the four-dimensional case. However, we show that when working with the self- dual variables and imposing the reality conditions the spectra become continuous and gamma independent.
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