String theory T-duality and the zero point length of spacetime

Abstract

It has been often conjectured that the correct theory of quantum gravity will act as a UV regulator in the low energy limit of quantum field theory. Earlier work has shown that if the path integral defining the quantum field theory propagator is modified, so that the amplitude is invariant under the duality transformation l--> 1/l where l is the length of the path, then the propagator is UV-finite and exhibits a ``zero-point length'' of the spacetime. Since string theory uses extended structures and has a T-duality, these results should also emerge directly from string theory. We show, by explicit path integral computation, that this is indeed the case. The lowest order string theory correction to the propagator is the same as that obtained by the hypothesis of path integral duality.

4 pages, Revtex, no figures

Cited by in corpus (5)

• Running Coupling with Minimal Length
• Path integral duality modified propagators in spacetimes with constant curvature
• Zero-point length, extra-dimensions and string T-duality
• Lorentz invariance and unitarity in UV finite NCQFT
• Quantum gravitational corrections to the stress-energy tensor around the rotating BTZ black hole