Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-03-31
Phys.Rev.D74:024021,2006
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
31 pages, Latex 2epsilon, 1 figure, version 3 has updated references
Scientific paper
10.1103/PhysRevD.74.024021
We solve the effective Dirac equation for massless fermions during inflation in the simplest gauge, including all one loop corrections from quantum gravity. At late times the result for a spatial plane wave behaves as if the classical solution were subjected to a time dependent field strength renormalization of Z_2(t) = 1 - \frac{17}{4 \pi} G H^2 \ln(a) + O(G^2). We show that this also follows from making the Hartree approximation, although the numerical coefficients differ.
Miao Shun-Pei
Woodard Richard P.
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