Stress energy tensor renormalization for a spherically symmetric massive scalar field on a quantum space-time

Understand

We consider a massive scalar field living on the recently found exact quantum space-time corresponding to vacuum spherically symmetric loop quantum gravity.

• The discreteness of the quantum space time naturally regularizes the scalar field, eliminating divergences.
• However, the resulting finite theory depends on the details of the micro physics.
• We argue that such dependence can be eliminated through a finite renormalization and discuss its nature.