Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-11-25
Class.Quant.Grav.26:105002,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages, revtex4. Final version. Apart from minor changes, the latter part of Section IV and section V have been revised. Con
Scientific paper
10.1088/0264-9381/26/10/105002
Quantum corrections of certain types and relevant in certain regimes can be summarised in terms of an effective action calculable, in principle, from the underlying theory. The demands of symmetries, local form of terms and dimensional considerations limit the form of the effective action to a great extent leaving only the numerical coefficients to distinguish different underlying theories. The effective action can be restricted to particular symmetry sectors to obtain the corresponding, {\em reduced effective action}. Alternatively, one can also quantize a classically (symmetry) reduced theory and obtain the corresponding effective action. These two effective actions can be compared. As an example, we compare the effective action(s) known in isotropic loop quantum cosmology with the Lovelock actions, as well as with more general actions, specialized to homogeneous isotropic space-times and find that the $\bar{\mu}$-scheme is singled out.
Date Ghanashyam
Sengupta Sandipan
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