Time Dependent Solution in Cubic String Field Theory

Abstract

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 (-β)^n λ^{-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.

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

References in corpus (2)

• Tachyon Condensates, Carrollian Contraction of Lorentz Group, and Fundamental Strings
• S-brane Actions

Cited by in corpus (29)

• Comments on Marginal Deformations in Open String Field Theory
• Open and Closed Strings from Unstable D-branes
• Open-Closed Duality at Tree Level
• Cosmological tachyon from cubic string field theory
• Tachyon condensation in open-closed p-adic string theory
• Solutions from boundary condition changing operators in open string field theory
• Taming the Tachyon in Cubic String Field Theory
• Tachyon solutions in boundary and cubic string field theory
• Four Lectures on Analytic Solutions in Open String Field Theory
• Physical Degrees of Freedom of Non-local Theories
• Toward Open-Closed String Theoretical Description of Rolling Tachyon
• Dynamics with Infinitely Many Time Derivatives in Friedmann-Robertson-Walker Background and Rolling Tachyon
• Rolling to the tachyon vacuum in string field theory
• D-brane Dynamics in the c=1 Matrix Model
• String Field Theory Solution for Any Open String Background. II
• Marginally Deformed Rolling Tachyon around the Tachyon Vacuum in Open String Field Theory
• Energy Momentum Tensor and Marginal Deformations in Open String Field Theory
• Initial value problem in string-inspired nonlocal field theory
• S-matrix elements and off-shell tachyon action with non-abelian gauge symmetry
• Dressed Sliver solutions in Vacuum String Field Theory
• Exact time-localized solutions in Vacuum String Field Theory
• A solution to the 4-tachyon off-shell amplitude in cubic string field theory
• Non-abelian expansion of S-matrix elements and non-abelian tachyon DBI action
• Moduli Space of Unstable D-branes on a Circle of Critical Radius
• Rolling Near the Tachyon Vacuum
• Time-localized projectors in String Field Theory with E-field
• Disk Partition Function and Oscillatory Rolling Tachyons
• S-matrix elements and covariant tachyon action in type 0 theory
• Symplectic structure in open string field theory I: Rolling tachyons