## Abstract

We study the gauge structure of vacuum string field theory expanded around the D-brane 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.

Original language | English |
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Pages (from-to) | 1173-1190 |

Number of pages | 18 |

Journal | Journal of High Energy Physics |

Volume | 8 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2004 Feb 1 |

Externally published | Yes |

## Keywords

- Bosonic Strings
- Gauge Symmetry
- String Field Theory
- Tachyon Condensation

## ASJC Scopus subject areas

- Nuclear and High Energy Physics