String theory as a diffusing system

TL;DR

This paper explores how the effective non-local dynamics of open string field theory can be understood through a diffusion equation, revealing a universal structure linked to gauge symmetries and superpositions of diffusing states.

Contribution

It demonstrates that the diffusion equation structure is inherent in the full theory and applies to all known solutions, providing a new perspective on OSFT dynamics.

Findings

Approximate solutions obey the diffusion equation.

All known solutions are superpositions of diffusing surface states.

Diffusion equation reflects OSFT gauge symmetries.

Abstract

Recent results on the effective non-local dynamics of the tachyon mode of open string field theory (OSFT) show that approximate solutions can be constructed which obey the diffusion equation. We argue that this structure is inherited from the full theory, where it admits a universal formulation. In fact, all known exact OSFT solutions are superpositions of diffusing surface states. In particular, the diffusion equation is a spacetime manifestation of OSFT gauge symmetries.