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

Cited by in corpus (4)

• Principle of Equivalence at Planck scales, QG in locally inertial frames and the zero-point-length of spacetime
• World-line Path integral for the Propagator expressed as an ordinary integral: Concept and Applications
• A class of QFTs with higher derivative field equations leading to standard dispersion relation for the particle excitations
• Gravitational effective action at mesoscopic scales from the quantum microstructure of spacetime