Mode Interactions of the Tachyon Condensate in p-adic String Theory

TL;DR

This paper investigates the fluctuation modes of tachyon condensates in p-adic string theory, revealing a discrete spectrum and confirming the consistency of derived interactions with p-adic string amplitudes.

Contribution

It provides a detailed analysis of fluctuation spectra and validates the interaction structure against p-adic string amplitudes, advancing understanding of tachyon dynamics in p-adic strings.

Findings

Discrete spectrum with equally spaced mass squared levels

Interactions consistent with p-adic string amplitudes for excited states

Confirmation of the theoretical model's validity

Abstract

We study the fluctuation modes for lump solutions of the tachyon effective potential in p-adic open string theory. We find a discrete spectrum with equally spaced mass squared levels. We also find that the interactions derived from this field theory are consistent with p-adic string amplitudes for excited string states.