Unveiling the tachyon dynamics in the Carrollian limit

TL;DR

This paper explores the classical dynamics of open string tachyons in the Carrollian limit, revealing that their equations of motion resemble Dirac equations and discussing implications for interpreting tachyons as time.

Contribution

It provides a canonical analysis of tachyon dynamics in the Carrollian limit and compares it to non-relativistic cases, offering new insights into their equations of motion.

Findings

Tachyon equations of motion are of Dirac type in the Carrollian limit.

In non-relativistic limits, tachyon equations resemble Schrödinger equations.

Electromagnetic fluxes prevent interpreting the tachyon as a time variable.

Abstract

We briefly study the dynamics at classical level of the Carrollian limit, with vanishing speed of light and no possible propagation of signals, for a simply effective action in a flat space with a open string tachyon as scalar field. The canonical analysis of the theory indicates that the equation of motion is of Dirac type contrary to non-relativistic case where the equation is of Schrodinger type. The ultimate intention is to analize the latter case with electromagnetic fluxes finding that in this case the open string tachyon cannot be interpreted as time.