Effective Dynamics from Coherent State Path Integral of Full Loop Quantum Gravity

Understand

A new routine is proposed to relate Loop Quant Cosmology (LQC) to Loop Quantum Gravity (LQG) from the perspective of effective dynamics.

• We derive the big-bang singularity resolution and big bounce from the first principle of full canonical LQG.
• Our results are obtained in the framework of the reduced phase space quantization of LQG.
• As a key step in our work, we derive with coherent states a new discrete path integral formula of the transition amplitude generated by the physical Hamiltonian.