Time Dependent Solution in Cubic String Field Theory

Details Time Dependent Solution in Cubic String Field Theory Time Dependent Solution in Cubic String Field Theory

2003-04-18

arxiv.org/abs/hep-th/0304163v3

JHEP 0305 (2003) 043

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 12 figures, LaTeX2e, v3:minor corrections

Scientific paper

10.1088/1126-6708/2003/05/043

We study time dependent solutions in cubic open string field theory which are expected to describe the configuration of the rolling tachyon. We consider the truncated system consisting of component fields of level zero and two, which are expanded in terms of cosh n x^0 modes. For studying the large time behavior of the solution we need to know the coefficients of all and, in particular, large n modes. We examine numerically the coefficients of the n-th mode, and find that it has the leading n-dependence of the form (-\beta)^n \lambda^{-n^2} multiplied by a peculiar subleading part with peaks at n=2^m=4,8,16,32,64,128,.... This behavior is also reproduced analytically by solving simplified equations of motion of the tachyon system.

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