Summing over spacetime dimensions in quantum gravity

Abstract

Quantum-gravity corrections (in the form of a minimal length) to the Feynman propagator for a free scalar particle in ${\mathbb{R}}^D$ are shown to be the result of summing over all dimensions $D^{\prime }\ge D$ of ${\mathbb{R}}^{D^{\prime }}$, each summand taken in the absence of quantum gravity.

9 pages; new section added; refs. updated

References in corpus (1)

• Path integral duality modified propagators in spacetimes with constant curvature