Observables as Twist Anomaly in Vacuum String Field Theory

Details Observables as Twist Anomaly in Vacuum String Field Theory Observables as Twist Anomaly in Vacuum String Field Theory

2001-11-05

arxiv.org/abs/hep-th/0111034v3

JHEP 0201 (2002) 042

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, no figures, LaTeX2e, v2: eqs. (4.11) and (4.15) corrected, v3: a footnote added and typos corrected

Scientific paper

10.1088/1126-6708/2002/01/042

We reveal a novel mathematical structure in physical observables, the mass of tachyon fluctuation mode and the energy density, associated with a classical solution of vacuum string field theory constructed previously [hep-th/0108150]. We find that they are expressed in terms of quantities which apparently vanish identically due to twist even-odd degeneracy of eigenvalues of a Neumann coefficient matrix defining the three-string interactions. However, they can give non-vanishing values because of the breakdown of the degeneracy at the edge of the eigenvalue distribution. We also present a general prescription of correctly simplifying the expressions of these observables. Numerical calculation of the energy density following our prescription indicates that the present classical solution represents the configuration of two D25-branes.

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