Muxin Han, Florida Atlantic University
Title: Effective dynamics from full loop quantum gravity
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A hot topic of research is how to derive the equations of loop quantum cosmology from loop quantum gravity. Initial investigations started by freezing most degrees of freedom and keeping the ones relevant for cosmology and proceeding to quantize them using loop quantum gravity inspired techniques. In recent years the focus has moved towards trying to derive things directly from full loop quantum gravity. In this talk a proposal along these lines is put forward. The idea is to use the path integral approach to quantization. This is an approach in which the quantum theory is built by considering all possible paths of the dynamics of the system and assigning probabilities to them. The idea is to perform the path integral using a set of states known as coherent states and study the resulting equations of motion. The technique is applied to several proposals for the evolution operator (Hamiltonian) of the theory that have been put out in the literature. The technique is suitable for numerical evolution opening a contact with numerical relativity. It may be applicable in other situations of interest like cosmological perturbations and binary black holes.
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