On higher derivative corrections of tachyon action

Abstract

We have examined the momentum expansion of the disk level S-matrix element of two tachyons and two gauge fields to find, up to on-shell ambiguity, the couplings of these fields in the world volume theory of N coincident non-BPS D-branes to all order of ${\alpha }^{\prime }$. Using the proposal that the action of D-brane-anti-D-brane is given by the projection of the action of two non-BPS D-branes with $(-1{)}^{F_L}$, we find the corresponding couplings in the world volume theory of the brane-anti-brane system. Using these infinite tower of couplings, we then calculate the massless pole of the scattering amplitude of one RR field, two tachyons and one gauge field in the brane-anti-brane theory. We find that the massless pole of the field theory amplitude is exactly equal to the massless pole of the disk level S-matrix element of one RR, two tachyons and one gauge field to all order of ${\alpha }^{\prime }$.

22 pages, 1 figure, latex file, V2: minor change in notation

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Cited by in corpus (9)

• Open & Closed vs. Pure Open String Disk Amplitudes
• Tachyon condensation and quark mass in modified Sakai-Sugimoto model
• More on WZ action of non-BPS branes
• On effective actions of BPS branes and their higher derivative corrections
• Universality in all-order ${\alpha }^{\prime }$ corrections to BPS/non-BPS brane world volume theories
• On higher derivative corrections to Wess-Zumino and Tachyonic actions in type II super string theory
• On D-brane anti D-brane effective actions and their corrections to all orders in alpha-prime
• On effective actions of non-BPS branes and their higher derivative corrections
• Tachyon Couplings to Fermion