We apply quantum field theory in quantum space-time techniques to study the Casimir effect for large spherical shells. As background we use the recently constructed exact quantum solution for spherically symmetric vacuum space-time in loop quantum gravity. All calculations are finite and one recovers the usual results without the need for regularization or renormalization. This is an example of how loop quantum gravity provides a natural resolution to the infinities of quantum field theories.
Publication Source (Journal or Book title)
Classical and Quantum Gravity
Gambini, R., Olmedo, J., & Pullin, J. (2015). Casimir effect in a quantum space-time. Classical and Quantum Gravity, 32 (11) https://doi.org/10.1088/0264-9381/32/11/115002