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A solution to the 4-tachyon off-shell amplitude in cubic string field theory

Forini, V. ORCID: 0000-0001-9726-1423, Grignani, G. and Nardelli, G. (2006). A solution to the 4-tachyon off-shell amplitude in cubic string field theory. Journal of High Energy Physics, 2006, 053.. doi: 10.1088/1126-6708/2006/04/053

Abstract

We derive an analytic series solution of the elliptic equations providing the 4-tachyon off-shell amplitude in cubic string field theory (CSFT). From such a solution we compute the exact coefficient of the quartic effective action relevant for time dependent solutions and we derive the exact coefficient of the quartic tachyon coupling. The rolling tachyon solution expressed as a series of exponentials et is studied both using level-truncation computations and the exact 4-tachyon amplitude. The results for the level truncated coefficients are shown to converge to those derived using the exact string amplitude. The agreement with previous work on the subject, both on the quartic tachyon coupling and on the CSFT rolling tachyon, is an excellent test for the accuracy of our off-shell solution.

Publication Type: Article
Publisher Keywords: Rolling tachyon, string field theory
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/19715
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