Instanton representation of Plebanski gravity XXII. Minisuperspace quantization of gravity coupled to spin 1/2 fermionic fields

Details Instanton representation of Plebanski gravity XXII. Minisuperspace quantization of gravity coupled to spin 1/2 fermionic fields Instanton representation of Plebanski gravity XXII. Minisuperspace quantization of gravity coupled to spin 1/2 fermionic fields

2008-06-25

arxiv.org/abs/0806.4183v4

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages

Scientific paper

In this paper we carry out a quantization of gravity coupled to massless spin
1/2 fermions through the instanton representation of Plebanski gravity. We have
constructed a Hilbert space of states for this model, and we have computed the
Hamilton's equations of motion. The classical equations appear, at a
superficial level, to be consistent with the quantum dynamics of the theory.

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