Nonlocal Dynamics of p-Adic Strings

TL;DR

This paper explores nonlocal Lagrangians derived from p-adic string theories, incorporating the Riemann zeta function to model the entire p-adic sector of scalar strings with nonlocal dynamics.

Contribution

It introduces a novel class of nonlocal Lagrangians for p-adic strings using the Riemann zeta function, extending previous models to encompass the full p-adic sector.

Findings

Construction of Lagrangians with zeta function dependence

Inclusion of space-time nonlocality via the d'Alembertian

Presentation of new theoretical results on p-adic string dynamics

Abstract

We consider the construction of Lagrangians that might be suitable for describing the entire $p$-adic sector of an adelic open scalar string. These Lagrangians are constructed using the Lagrangian for $p$-adic strings with an arbitrary prime number $p$. They contain space-time nonlocality because of the d'Alembertian in argument of the Riemann zeta function. We present a brief review and some new results.