The Perturbative Spectrum of the Dressed Sliver

Details The Perturbative Spectrum of the Dressed Sliver The Perturbative Spectrum of the Dressed Sliver

2004-04-21

arxiv.org/abs/hep-th/0404154v3

Phys.Rev. D71 (2005) 026003

Physics

High Energy Physics

High Energy Physics - Theory

52 pages, v2: comment added in sec. 5, v3: one appendix added, comments added in introduction and conclusion, to appear on PRD

Scientific paper

10.1103/PhysRevD.71.026003

We analyze the fluctuations of the dressed sliver solution found in a previous paper, hep-th/0311198, in the operator formulation of Vacuum String Field Theory. We derive the tachyon wave function and then analyze the higher level fluctuations. We show that the dressing is responsible for implementing the transversality condition on the massless vector. In order to consistently deal with the singular $k=0$ mode we introduce a string midpoint regulator and we show that it is possible to accommodate all the open string states among the solutions to the linearized equations of motion. We finally show how the dressing can give rise to the correct ratio between the energy density of the dressed sliver and the brane tension computed via the three-tachyons-coupling.

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