On D-brane anti D-brane effective actions and their corrections to all orders in alpha-prime

TL;DR

This paper derives all-order alpha-prime corrections to D-brane anti D-brane effective actions by analyzing string scattering amplitudes, revealing new couplings, higher derivative corrections, and infinite poles in the effective field theory.

Contribution

It introduces new infinite higher derivative corrections and couplings in brane anti brane effective actions based on detailed string amplitude analysis.

Findings

Discovered new couplings in brane anti brane effective actions.

Derived all-order alpha-prime corrections for these couplings.

Identified infinite gauge and scalar poles in the scattering amplitudes.

Abstract

Based on a four point function, the S-matrix elements at disk level of the scattering amplitude of one closed string Ramond-Ramond field ($C$), two tachyons and one scalar field, we find out new couplings in brane anti brane effective actions for $p=n,p+2=n$ cases. Using the infinite corrections of the vertex of one RR, one gauge and one scalar field and applying the correct expansion, it is investigated in detail how we produce the infinite gauge poles of the amplitude for $p = n$ case. By discovering new higher derivative corrections of two tachyon-two scalar couplings in brane anti brane systems to all orders in $\alpha'$, we also obtain the infinite scalar poles in $t'+s'+u$-channel in field theory. Working with the complete form of the amplitude with the closed form of the expansion and comparing all the infinite contact terms of this amplitude, we derive several new Wess-Zumino couplings with all their infinite higher derivative corrections in the world volume of brane anti brane systems. In particular, in producing all the infinite scalar poles of $<V_C V_{\phi} V_T V_T>$, one has to consider the fact that scalar 's vertex operator in $(-1)$-picture must carry the internal $\sigma_3$ Chan-Paton matrix. The symmetric trace effective action has a non-zero coupling between $D\phi^{(1)i}$ and $D\phi^{(2)}_i$ while this coupling does not exist in ordinary trace effective action.