Slowly varying tachyon and tachyon potential

Details Slowly varying tachyon and tachyon potential Slowly varying tachyon and tachyon potential

2003-04-16

arxiv.org/abs/hep-th/0304145v3

JHEP 0305 (2003) 058

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 11 pages, no figures v3; clarify that the potential found is only the even part of the tachyon potential

Scientific paper

10.1088/1126-6708/2003/05/058

We show that the scattering amplitude of four open string scalars or tachyons on the world-volume of a D$_p$-brane in the bosonic string theory can be written in a universal form. The difference between this amplitude and the corresponding amplitude in the superstring theory is in an extra tachyonic pole. We show that in an $\alpha'$ expansion and for slowly varying fields, the amplitude is consistent with the tachyonic DBI action in which the even part of the tachyon potential is $V(T)=e^{-(\sqrt{\pi} T/\alpha)^2}$ with $\alpha=1$ for bosonic theory and $\alpha=\sqrt{2}$ for superstring theory.

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