Tachyon solutions in boundary and cubic string field theory
arXiv:0708.0366 · doi:10.1103/PhysRevD.78.126010
Abstract
We construct rolling tachyon solutions of open and boundary string field theory (OSFT and BSFT, respectively), in the bosonic and supersymmetric (susy) case. The wildly oscillating solution of susy OSFT is recovered, together with a family of time-dependent BSFT solutions for the bosonic and susy string. These are parametrized by an arbitrary constant r involved in solving the Green equation of the target fields. When r=0 we recover previous results in BSFT, whereas for r attaining the value predicted by OSFT it is shown that the bosonic OSFT solution is the derivative of the boundary one; in the supersymmetric case the relation between the two solutions is more complicated. This technical correspondence sheds some light on the nature of wild oscillations, which appear in both theories whenever r>0.
21 pages, 4 figures; v3: shorter version, contents rearranged and simplified, spiky solution now discarded, novel interpretation of OSFT/BSFT relation; v4: published version
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- Applications of Thirring Model to Inhomogenous Rolling Tachyon and Dissipative Quantum Mechanics