Towards new background independent representations for Loop Quantum Gravity

Details Towards new background independent representations for Loop Quantum Gravity Towards new background independent representations for Loop Quantum Gravity

2007-09-11

arxiv.org/abs/0709.1680v2

Class.Quant.Grav.25:105011,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, minor changes

Scientific paper

10.1088/0264-9381/25/10/105011

Recently, uniqueness theorems were constructed for the representation used in Loop Quantum Gravity. We explore the existence of alternate representations by weakening the assumptions of the so called LOST uniqueness theorem. The weakened assumptions seem physically reasonable and retain the key requirement of explicit background independence. For simplicity, we restrict attention to the case of gauge group U(1).

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