A new rolling tachyon solution of cubic string field theory

Abstract

We present a new analytic time dependent solution of cubic string field theory at the lowest order in the level truncation scheme. The tachyon profile we have found is a bounce in time, a $C^{\infty }$ function which represents an almost exact solution, with an extremely good degree of accuracy, of the classical equations of motion of the truncated string field theory. Such a finite energy solution describes a tachyon which at $x^0=-\infty$ is at the maximum of the potential, at later times rolls toward the stable minimum and then up to the other side of the potential toward the inversion point and thenback to the unstable maximum for $x^0\to +\infty$. The energy-momentum tensor associated with this rolling tachyon solution can be explicitly computed. The energy density is constant, the pressure is an even function of time which can change sign while the tachyon rolls toward the minimum of its potential. A new form of tachyon matter is realized which might be relevant for cosmological applications.

18 pages, 4 figures

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• Route to nonlocal cosmology
• Comments on Marginal Deformations in Open String Field Theory
• p-adic Inflation
• Bouncing and Accelerating Solutions in Nonlocal Stringy Models
• Nonlocal gravity and the diffusion equation
• Large Nongaussianity from Nonlocal Inflation
• Dynamics in Nonlocal Cosmological Models Derived from String Field Theory
• Black Holes at Future Colliders and Beyond: a Topical Review
• Time Lumps in Nonlocal Stringy Models and Cosmological Applications
• Cosmological tachyon from cubic string field theory
• Taming the Tachyon in Cubic String Field Theory
• Tachyon solutions in boundary and cubic string field theory
• Nonlocal instantons and solitons in string models
• Dynamics in nonlocal linear models in the Friedmann-Robertson-Walker metric
• Dynamics with Infinitely Many Time Derivatives in Friedmann-Robertson-Walker Background and Rolling Tachyon
• Kinks of open superstring field theory
• Localization of nonlocal cosmological models with quadratic potentials in the case of double roots
• String theory as a diffusing system
• Applications of Thirring Model to Inhomogenous Rolling Tachyon and Dissipative Quantum Mechanics
• Representations of the fractional d'Alembertian and initial conditions in fractional dynamics
• Diffusion method in field theories with fakeons