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Lattice Refining LQC and the Matter Hamiltonian · Around

2007

Lattice Refining LQC and the Matter Hamiltonian

Nelson, William, Sakellariadou, Mairi

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In the context of loop quantum cosmology, we parametrise the lattice refinement by a parameter, $A$, and the matter Hamiltonian by a parameter, $\delta$.

We then solve the Hamiltonian constraint for both a self-adjoint, and a non-self-adjoint Hamiltonian operator.
Demanding that the solutions for the wave-functions obey certain physical restrictions, we impose constraints on the two-dimensional, $(A,\delta)$, parameter space, thereby restricting the types of matter content that can be supported by a particular lattice refinement model.

Built on

A. Ashtekar and R. S. Tate, J. Math. Phys. 35
1994
Earlier work this paper cites.
M. Bojowald, Class. Quant. Grav. 19
2002
Earlier work this paper cites.
M. Bojowald and F. Hinterleitner, Phys. Rev. D 66
2002
Earlier work this paper cites.

Similar

A. Ashtekar, M. Bojowald and J. Lewandowski, Adv. Theor. Math. Phys. 7
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A. Ashtekar, M. Bojowald, J. Lewandowski, Adv. Theor. Math. Phys. 7
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K. Vandersloot, Phys. Rev. D 71
Original
2005
Cited alongside, same era.
M. Bojowald, D. Cartin and G. Khanna, “Lattice refining loop quantum cosmology, anisotropic models and stability,” arXiv:gr-qc/0704.1137
Cited in the paper.
W. Nelson and M. Sakellariadou, “Lattice Refining Loop Quantum Cosmology and Inflation,” arXiv:0706.0179 [gr-qc]
Original
Cited in the paper.

Then

K. Vandersloot, “Loop quantum cosmology”, Ph.D. Thesis, Pennsylvania State University (2006)
2006
Later among the works it cites.
A. Ashtekar, T. Pawlowski and P. Singh, Phys. Rev. D 74
2006
Later among the works it cites.
A. Perez, Phys. Rev. D 73
2006
Later among the works it cites.

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