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Non-abelian expansion of S-matrix elements and non-abelian tachyon DBI action

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arxiv hep-th/0607249 v3 pith:VD6OU3Q4 submitted 2006-07-31 hep-th

classification hep-th
keywords non-abeliantachyonalphaexpansions-matrixactionelementspotential
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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 $V(T)=1+\pi\alpha' m^2T^2+\frac{1}{2!}(\pi\alpha' m^2T^2)^2+...$ where $m^2=-1/(2\alpha')$ is the mass of tachyon. This calculation fixes the coefficient of $T^4$ in the potential without on-shell ambiguity.

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Cited by 1 Pith paper

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  1. Tachyon couplings from S-matrix elements in bosonic string theory

    hep-th 2026-08 conditional novelty 6.0 of 10

    The paper argues that bosonic string effective actions contain only even numbers of tachyon fields and extracts D-brane tachyon couplings that match type 0 theory.

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