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Lattice Refining Loop Quantum Cosmology and Inflation · Around

2007

Lattice Refining Loop Quantum Cosmology and Inflation

Nelson, William, Sakellariadou, Mairi

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We study the importance of lattice refinement in achieving a successful inflationary era.

We solve, in the continuum limit, the second order difference equation governing the quantum evolution in loop quantun cosmology, assuming both a fixed and a dynamically varying lattice in a suitable refinement model.
We thus impose a constraint on the potential of a scalar field, so that the continuum approximation is not broken.
Considering that such a scalar field could play the role of the inflaton, we obtain a second constraint on the inflationary potential so that there is consistency with the CMB data on large angular scales.

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A. Ashtekar, M. Bojowald and J. Lewandowski, Adv. Theor. Math. Phys. 7
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