A Novel Application of Quantum Speed Limit to String Theory

TL;DR

This paper explores how quantum speed limits influence string theory, suggesting that interactions must be non-local and finite, potentially resolving divergences in quantum field theories.

Contribution

It introduces a novel application of quantum speed limits to string field theory, linking non-local interactions to finiteness in quantum field theories.

Findings

Interactions are constrained by a minimum evolution time.

Non-locality is necessary for finite quantum field theories.

Quantum speed limits may remove divergences in effective theories.

Abstract

In this work, we investigate the implications of the concept of quantum speed limit in string field theory. We adopt a novel approach to the problem of time on world-sheet based on Fisher information, and arrive at a minimum time for a particle state to evolve into another particle state. This is done using both the Mandelstam-Tamm bound and the Margolus-Levitin bound. This implies that any interaction has to be smeared over such an interval, and any interaction in the effective quantum field theory has to be non-local. As non-local quantum field theories are known to be finite, it is expected that divergences should be removed from effective quantum field theories due to the quantum speed limit of string theory.