Dynamics and Stability of Light-Like Tachyon Condensation

dc.creatorBarnaby, Neil
dc.creatorMulryne, David J.
dc.creatorNunes, Nelson J.
dc.creatorRobinson, Patrick
dc.date2008-11-04
dc.date2009-02-03
dc.date.accessioned2026-07-07T12:56:46Z
dc.date.available2026-07-07T12:56:46Z
dc.descriptionRecently, Hellerman and Schnabl considered the dynamics of unstable D-branes in the background of a linear dilaton. Remarkably, they were able to construct light-like tachyon solutions which interpolate smoothly between the perturbative and nonperturbative vacua, without undergoing the wild oscillations that plague time-like solutions. In their analysis, however, the full structure of the initial value problem for the nonlocal dynamical equations was not considered. In this paper, therefore, we reexamine the nonlinear dynamics of light-like tachyon condensation using a combination of numerical and analytical techniques. We find that for the p-adic string the monotonic behaviour obtained previously relied on a special choice of initial conditions near the unstable maximum. For generic initial conditions the wild oscillations come back to haunt us. Interestingly, we find an "island of stability" in initial condition space that leads to sensible evolution at late times. For the string field theory case, on the other hand, we find that the evolution is completely stable for generic choices of initial data. This provides an explicit example of a string theoretic system that admits infinitely many initial data but is nevertheless nonperturbatively stable. Qualitatively similar dynamics are obtained in nonlocal cosmologies where the Hubble damping plays a role very analogous to the dilaton gradient.
dc.description26 pages, 7 figures; added references and comments concerning the light-like ansatz. Accepted for publication in JHEP
dc.identifierhttps://arxiv.org/abs/0811.0608
dc.identifierhttp://arxiv.org/abs/0811.0608
dc.identifierJHEP 0903:018,2009
dc.identifierdoi:10.1088/1126-6708/2009/03/018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224698
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleDynamics and Stability of Light-Like Tachyon Condensation
dc.typetext

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