Field Theory of Tachyon Matter

TL;DR

This paper develops a field theory model for tachyon dynamics on brane-antibrane systems, capturing key properties like pressure decay and absence of plane-wave solutions, and describes classical solutions resembling non-relativistic matter.

Contribution

It introduces a new field theory framework that accurately models tachyon behavior near the potential minimum, aligning with known properties of tachyon effective actions.

Findings

Reproduces absence of plane-wave solutions around the minimum.

Shows exponential pressure decay during tachyon evolution.

Includes classical solutions akin to non-relativistic matter.

Abstract

We propose a field theory for describing the tachyon on a brane-antibrane system near the minimum of the potential. This field theory realizes two known properties of the tachyon effective action: 1) absence of plane-wave solutions around the minimum, and 2) exponential fall off of the pressure at late time as the tachyon field evolves from any spatially homogeneous initial configuration towards the minimum of the potential. Classical solutions in this field theory include non-relativistic matter with arbitrary spatial distribution of energy.