On the relation between p-adic and ordinary strings

TL;DR

This paper explores the connection between p-adic and ordinary string theories, proposing a renormalisation group perspective on the p→1 limit and its implications for string amplitude relations.

Contribution

It offers a new worldsheet-based interpretation of the p→1 limit as a continuum renormalisation group flow in p-adic string theory.

Findings

p-adic string amplitudes relate to ordinary strings in the p→1 limit

The p→1 limit can be viewed as a continuum renormalisation group flow

Provides a conceptual framework linking p-adic and standard string theories

Abstract

The amplitudes for the tree-level scattering of the open string tachyons, generalised to the field of p-adic numbers, define the p-adic string theory. There is empirical evidence of its relation to the ordinary string theory in the p_to_1 limit. We revisit this limit from a worldsheet perspective and argue that it is naturally thought of as a continuum limit in the sense of the renormalisation group.