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Paper   IPM / P / 6958
School of Physics
  Title:   Slowly Varying Tachyon and Tachyon Potential
  Author(s):  M.R. Garousi
  Status:   Published
  Journal: JHEP
  No.:  13
  Vol.:  05
  Year:  2003
  Pages:   058
  Supported by:  IPM
We show that the scattering amplitude of four open string scalars or tachyons on the world-volume of a Dp-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 α′ 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−(√{π} T/α)2 with α = 1 for bosonic theory and α = √2 for superstring theory.

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