On Closed String Tachyon Dynamics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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27 pages in body, 42 pages total; v2: exposition improved, references added; v3: comment added on localized tachyons, referenc

Scientific paper

10.1103/PhysRevD.73.066015

We study the condensation of closed string tachyons as a time-dependent process. In particular, we study tachyons whose wave functions are either space-filling or localized in a compact space, and whose masses are small in string units; our analysis is otherwise general and does not depend on any specific model. Using world-sheet methods, we calculate the equations of motion for the coupled tachyon-dilaton system, and show that the tachyon follows geodesic motion with respect to the Zamolodchikov metric, subject to a force proportional to its beta function and friction proportional to the time derivative of the dilaton. We study the relationship between world-sheet RG flow and the solutions to our equations, finding a close relationship in the case that the spatial theory is supercritical and the dilaton has a negative time derivative.

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