Evolution of Tachyon Kink with Electric Field

Abstract

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 $\bar{\mathrm{D}}0$-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.

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

References in corpus (11)

• D-Brane Dynamics in Dp-Brane Background
• Caustic Formation in Tachyon Effective Field Theories
• Folding Branes
• Global and Local D-vortices
• Tachyon Kinks in Boundary String Field Theory
• DF-strings from D3$\bar{\mathbf{D}}$3 as Cosmic Strings
• Deforming tachyon kinks and tachyon potentials
• Homogeneous Rolling Tachyons in Boundary String Field Theory
• A note on Tachyon dynamics
• Late Time Behaviors of an Inhomogeneous Rolling Tachyon
• Exact Rolling Tachyon in Noncommutative Field Theory

Cited by in corpus (4)

• The effective action of the heterotic string compactified on manifolds with SU(3) structure
• Cosmic D- and DF-strings from D3Dbar3: Black Strings and BPS Limit
• Exact solutions in the Dirac-Born-Infeld effective theory and the fate of tachyon
• Exact solutions and momentum couplings in the Dirac-Born-Infeld effective theory