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 (6)

• Duality and zero-point length of spacetime
• Hypothesis of path integral duality: Applications to QED
• Path integral duality modified propagators in spacetimes with constant curvature
• Thermality of the Rindler horizon: A simple derivation from the structure of the inertial propagator
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Cited by in corpus (7)

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• Vacuum expectation values in non-trivial background space from three types of UV improved Green's functions
• 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
• Spherical space in the Newtonian limit: The cosmological constant
• Gravitational effective action at mesoscopic scales from the quantum microstructure of spacetime