Singular tachyon kinks from regular profiles

Details Singular tachyon kinks from regular profiles Singular tachyon kinks from regular profiles

2003-06-30

arxiv.org/abs/hep-th/0306294v2

Phys.Rev. D68 (2003) 065013

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 3 figures. References added

Scientific paper

10.1103/PhysRevD.68.065013

We demonstrate how Sen's singular kink solution of the Born-Infeld tachyon action can be constructed by taking the appropriate limit of initially regular profiles. It is shown that the order in which different limits are taken plays an important role in determining whether or not such a solution is obtained for a wide class of potentials. Indeed, by introducing a small parameter into the action, we are able circumvent the results of a recent paper which derived two conditions on the asymptotic tachyon potential such that the singular kink could be recovered in the large amplitude limit of periodic solutions. We show that this is explained by the non-commuting nature of two limits, and that Sen's solution is recovered if the order of the limits is chosen appropriately.

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