Gauge Structure of Vacuum String Field Theory
Abstract
We study the gauge structure of vacuum string field theory expanded around the Dbrane solution, namely, the gauge transformation and the transversality condition of the massless vector fluctuation mode. We find that the gauge transformation on massless vector field is induced as an anomaly; an infinity multiplied by an infinitesimal factor. The infinity comes from the singularity at the edge of the eigenvalue distribution of the Neumann matrix, while the infinitesimal factor from the violation of the equation of motion of the fluctuation modes due to the regularization for the infinity. However, the transversality condition cannot be obtained even if we take into account the anomaly contribution.
 Publication:

Journal of High Energy Physics
 Pub Date:
 February 2004
 DOI:
 10.1088/11266708/2004/02/045
 arXiv:
 arXiv:hepth/0305010
 Bibcode:
 2004JHEP...02..045H
 Keywords:

 Bosonic Strings Tachyon Condensation String Field Theory Gauge Symmetry;
 High Energy Physics  Theory
 EPrint:
 19 pages, LaTeX2e