We establish rigorously the regularization of the p-adic open string amplitudes, with Chan-
Paton rules and a constant B-field, introduced by Ghoshal and Kawano. In this study we use …

A bstract In this article we discuss the limit p approaches to one of tree-level p-adic open
string amplitudes and its connections with the topological zeta functions. There is empirical …

A bstract In this article, we establish in a rigorous mathematical way that Koba-Nielsen
amplitudes defined on any local field of characteristic zero are bona fide integrals that admit …

A bstract We use open string field theory to study the dynamics of unstable branes in the
bosonic string theory, in the background of a generic linear dilaton. We find a simple exact …

Spacetime properties of the tachyon of the p-adic string theory can be derived from a (non-
local) action on the p-adic line Qp, thought of as the boundary of the 'worldsheet'. We show …

We consider some nonlocal and nonpolynomial scalar field models originating from p-adic
string theory. An infinite number of space-time derivatives is determined by the operator …

A class of models called p-adic strings is useful in understanding the tachyonic instability of
string theory. These are found to be empirically related to the ordinary strings in the p→ 1 …

This article is a survey of our recent work on the connections between Koba–Nielsen
amplitudes and local zeta functions (in the sense of Gel'fand, Weil, Igusa, Sato, Bernstein …

A new term in the p-adic world-sheet action is proposed, which couples a constant B-field to
the boundary of the world-sheet at disk level. The induced deformation of tachyon scattering …

The theory of p-adic strings is reviewed along with some of their applications, foremost
among them to the tachyon condensation problem in string theory. Some open problems are …