Evolution of Tachyon Kink with Electric Field

Details Evolution of Tachyon Kink with Electric Field Evolution of Tachyon Kink with Electric Field

2006-11-05

arxiv.org/abs/hep-th/0611053v2

JHEP 0704:059,2007

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 8 figures, some changes, one reference added, version to appear in JHEP

Scientific paper

10.1088/1126-6708/2007/04/059

We investigate the decay of an inhomogeneous D1-brane wrapped on a $S^1$ with an electric field. The model that we consider consists of an array of tachyon kink and anti-kink with a constant electric flux. Beginning with an initially static configuration, we numerically evolve the tachyon field with some perturbations under a fixed boundary condition at diametrically opposite points on the circle $S^1$. When the electric flux is smaller than the critical value, the tachyon kink becomes unstable; the tachyon field rolls down the potential, and the lower dimensional D0- and $\bar {\rm D}0$-brane become thin, which resembles the caustic formation known for this type of the system in the literature. For the supercritical values of the electric flux, the tachyon kink remains stable.

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