Universality and Scaling in the Collapse of Spherical Scalar Fields in Loop Quantum Gravity

We study the collapse of a massless scalar field in spherically symmetric loop quantum gravity using the semi-classical effective equations of motion. In spite of the presence of a characteristic length (the Planck length), the phase transition from no black hole to black hole formation remains second order like in classical general relativity. We study several details of the behavior near criticality as a function of the polymerization parameter of loop quantum gravity.