Photons from quantized electric flux representations

Details Photons from quantized electric flux representations Photons from quantized electric flux representations

2001-04-17

arxiv.org/abs/gr-qc/0104051v1

Phys.Rev. D64 (2001) 104003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, no figures

Scientific paper

10.1103/PhysRevD.64.104003

The quantum theory of U(1) connections admits a diffeomorphism invariant representation in which the electric flux through any surface is quantized. This representation is the analog of the representation of quantum SU(2) theory used in loop quantum gravity. We investigate the relation between this representation, in which the basic excitations are `polymer-like', and the Fock representation, in which the basic excitations are wave-like photons. We show that normalizable states in the Fock space are associated with `distributional' states in the quantized electric flux representation. This work is motivated by the question of how wave-like gravitons in linearised gravity arise from polymer-like states in non-perturbative loop quantum gravity.

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