Applications of Thirring Model to Inhomogenous Rolling Tachyon and Dissipative Quantum Mechanics
arXiv:0711.0512 · doi:10.1088/1126-6708/2008/02/090
Abstract
We study the rolling tachyon and the dissipative quantum mechanics using the Thirring model with a boundary mass. We construct a boundary state for the dissipative quantum system in one dimension, which describes the system at the off-critical points as well as at the critical point. Then we extend the Thirring model with a boundary mass in order to depict the time evolution of an unstable D-branes with one direction wrapped on a circle of radius , which is termed the inhomogeneous rolling tachyon. The analysis based on the Thirring model shows that the time dependent evolution of the inhomogeneous tachyon is possible only when .
arXiv comment19 pages, 2 figures, This work supersedes the previous one, arXiv:0705.3930 [hep-th]
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