Effective Actions from Loop Quantum Cosmology: Correspondence with Higher Curvature Gravity

Understand

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.