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Published June 1, 2004 | public
Journal Article Open

Decay modes of unstable strings in plane-wave string field theory

Abstract

The cubic interaction vertex of light-cone string field theory in the plane-wave background has a simple ffective form when considering states with only bosonic excitations. This simple effective interaction vertex is used in this paper to calculate the three string interaction matrix elements for states of arbitrary bosonic excitation and these results are used to examine certain decay modes on the mass-shell. It is shown that the matrix elements of one string to two string decays involving only bosonic excitations will vanish to all orders in 1/[Greek mu] on the mass-shell when the number of excitations on the initial string is less than or equal to two, but in general will not vanish when the number of excitations is greater than two. Also, a truncated calculation of the mass-shell matrix elements for one string to three string decays of two excitation states is performed and suggests that these matrix elements do not vanish on the mass-shell. There is, however, a quantitative discrepancy between this last result and its (also non-vanishing) gauge theory prediction from the BMN correspondence.

Additional Information

Received: May 25, 2004; Revised: June 11, 2004; Accepted: June 15, 2004. I am very grateful to J. Schwarz and U. Guersoy for useful discussions and comments. The work of P. B. is supported in part by a National Defense Science and Engineering Graduate Fellowship.

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August 22, 2023
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