Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-12-07
Physics
High Energy Physics
High Energy Physics - Theory
48 pages, 14 figures. v2: References added; Section 4 augmented by a discussion of the diffusion equation; discussion of growi
Scientific paper
We study the dynamics of light-like tachyon condensation in a linear dilaton background using level-truncated open string field theory. The equations of motion are found to be delay differential equations. This observation allows us to employ well-established mathematical methods that we briefly review. At level zero, the equation of motion is of the so-called retarded type and a solution can be found very efficiently, even in the far light-cone future. At levels higher than zero however, the equations are not of the retarded type. We show that this implies the existence of exponentially growing modes in the non-perturbative vacuum, possibly rendering light-like rolling unstable. However, a brute force calculation using exponential series suggests that for the particular initial condition of the tachyon sitting in the false vacuum in the infinite light-cone past, the rolling is unaffected by the unstable modes and still converges to the non-perturbative vacuum, in agreement with the solution of Hellerman and Schnabl. Finally, we show that the growing modes introduce non-locality mixing present with future, and we are led to conjecture that in the infinite level limit, the non-locality in a light-like linear dilaton background is a discrete version of the smearing non-locality found in covariant open string field theory in flat space.
Beaujean Frederik
Moeller Nicolas
No associations
LandOfFree
Delays in Open String Field Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Delays in Open String Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Delays in Open String Field Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-243268