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The Pauli Exclusion Principle and SU(2) vs. SO(3) in Loop Quantum Gravity

John Swain
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Abstract

Recent attempts to resolve the ambiguity in the loop quantum gravity description of the quantization of area has led to the idea that j=1 edges of spin-networks dominate in their contribution to black hole areas as opposed to j=1/2 which would naively be expected. This suggests that the true gauge group involved might be SO(3) rather than SU(2) with attendant difficulties. We argue that the assumption that a version of the Pauli principle is present in loop quantum gravity allows one to maintain SU(2) as the gauge group while still naturally achieving the desired suppression of spin-1/2 punctures. Areas come from j=1 punctures rather than j=1/2 punctures for much the same reason that photons lead to macroscopic classically observable fields while electrons do not.

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John Swain. 2003-05-19. The Pauli Exclusion Principle and SU(2) vs. SO(3) in Loop Quantum Gravity. https://doi.org/10.1142/s0218271803003955

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