### Abstract

We consider a closed string field theory with an arbitrary matter current as a source of the closed string field. We find that the source must satisfy a constraint equation as a consequence of the BRST invariance of the theory. We see that it corresponds to the covariant conservation law for the matter current, and the equation of motion together with this constraint equation determines the classical behavior of both the closed string field and the matter. We then consider the boundary state (D-brane) as an example of a source. We see that the ordinary boundary state cannot be a source of the closed string field when the string coupling g turns on. By perturbative expansion, we derive a recursion relation which represents the bulk backreaction and the D-brane recoil. We also make a comment on the rolling tachyon boundary state.

Original language | English |
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Pages (from-to) | 513-535 |

Number of pages | 23 |

Journal | Journal of High Energy Physics |

Volume | 7 |

Issue number | 10 |

Publication status | Published - 2003 Oct 1 |

Externally published | Yes |

### Keywords

- Bosonic Strings
- Classical Theories of Gravity
- D-branes
- String Field Theory

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

*Journal of High Energy Physics*,

*7*(10), 513-535.