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Paper   IPM / Physic / 8762
School of Physics
  Title:   Non-Abelian Expansion of S-Matrix Elements and Non-Abelian Tachyon DBI
1.  K. Bitaghsir Fadafan
2.  M.R. Garousi
  Status:   Published
  Journal: Nucl. Phys. B
  Vol.:  760
  Year:  2007
  Pages:   197-220
  Supported by:  IPM
We apply the prescription proposed in hep-th/0307197 for non-abelian expansion of S-matrix elements, to the S-matrix element of four tachyons and one gauge field in superstring theory. We show that the leading order terms of the expansion are in perfect agreement with the non-abelian generalization of the tachyon DBI action in which the tachyon potential is V(T)=1+πα′m2T2+[1/2!](πα′m2T2)2+... where m2=−1/(2α′) is the mass of tachyon. This calculation fixes the coefficient of T4 in the potential without on-shell ambiguity.

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