Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-03-06
Physics
High Energy Physics
High Energy Physics - Theory
49 pages, more refs added. The ambiguity in tachyonic effective action, between symmetrized trace and/or ordinary trace for $C
Scientific paper
By evaluating in detail the string scattering amplitude, we investigate various interactions of two massless scalars, one tachyon and one closed string Ramond-Ramond field in type II super string theory. In particular we find two scalar field and two tachyon couplings to all orders of $\alpha'$ up to on-shell ambiguity. We then obtain the momentum expansion of this amplitude and using these infinite couplings we find that infinite tachyon poles of S-matrix element of this amplitude for the $p=n$ case to all orders of $\alpha'$ are precisely equal to the infinite tachyon poles of the field theory. In addition to confirming the couplings of closed string field to the world-volume gauge field and scalar fields involving commutators, we also propose an extension of the Wess-Zumino action which naturally reproduces these new couplings in field theory such that they could be confirmed with direct S-matrix computations. Finally we show that the infinite massless poles and the contact terms of this amplitude for the $p=n+1$ case can be reproduced by Chern-Simons, higher derivative corrections of the Wess-Zumino and symmetrized trace tachyon DBI actions.
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