Zeta Strings

TL;DR

This paper introduces novel zeta string models using operator-valued Riemann zeta functions, derived from p-adic string theories, resulting in tachyon-free scalar field models with unique classical properties.

Contribution

It presents the first nonlinear scalar field models for open and open-closed strings based on the Riemann zeta function, extending p-adic string theory frameworks.

Findings

Zeta string models are tachyon-free.

Derived Lagrangians from p-adic string theories.

Basic classical properties of zeta strings are analyzed.

Abstract

We introduce nonlinear scalar field models for open and open-closed strings with spacetime derivatives encoded in the operator valued Riemann zeta function. The corresponding two Lagrangians are derived in an adelic approach starting from the exact Lagrangians for effective fields of $p$-adic tachyon strings. As a result tachyons are absent in these models. These new strings we propose to call zeta strings. Some basic classical properties of the zeta strings are obtained and presented in this paper.