Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-11-06
J.Math.Phys.42:2854-2871,2001
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, harvmac. To appear in the special issue of J. Math. Phys. on Strings, Branes and M-theory. v4: minor editorial chang
Scientific paper
10.1063/1.1376129
Motivated by recent discussions of actions for tachyon and vector fields related to tachyon condensation in open string theory we review and clarify some aspects of their derivation within sigma model approach. In particular, we demonstrate that the renormalized partition function $Z(T,A)$ of boundary sigma model gives the effective action for massless vectors which is consistent with string S-matrix and beta function, resolving an old problem with this suggestion in bosonic string case at the level of the leading $F^2 (dF)^2$ derivative corrections to Born-Infeld action. We give manifestly gauge invariant definition of $Z(T,A)$ in non-abelian NSR open string theory and check that its derivative reproduces the tachyon beta function in a particular scheme. We also discuss derivation of similar actions for tachyon and massless modes in closed bosonic and NSR (type 0) string theories.
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