Inhomogeneous Fragmentation of the Rolling Tachyon

Details Inhomogeneous Fragmentation of the Rolling Tachyon Inhomogeneous Fragmentation of the Rolling Tachyon

2004-03-08

arxiv.org/abs/hep-th/0403073v1

Phys.Rev. D70 (2004) 046004

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 1 figure

Scientific paper

10.1103/PhysRevD.70.046004

Dirac-Born-Infeld type effective actions reproduce many aspects of string theory classical tachyon dynamics of unstable Dp-branes. The inhomogeneous tachyon field rolling from the top of its potential forms topological defects of lower codimensions. In between them, as we show, the tachyon energy density fragments into a p-dimensional web-like high density network evolving with time. We present an analytic asymptotic series solution of the non-linear equations for the inhomogeneous tachyon and its stress energy. The generic solution for a tachyon field with a runaway potential in arbitrary dimensions is described by the free streaming of noninteracting massive particles whose initial velocities are defined by the gradients of the initial tachyon profile. Thus, relativistic particle mechanics is a dual picture of the tachyon field effective action. Implications of this picture for inflationary models with a decaying tachyon field are discussed.

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