### Abstract

We investigate the quantum structure of Witten's cubic open bosonic string field theory by computing the one-loop contribution to the open string tadpole using both oscillator and conformal field theory methods. We find divergences and a breakdown of BRST invariance in the tadpole diagram arising from tachyonic and massless closed string states, and we discuss ways of treating these problems. For a Dp-brane with sufficiently many transverse dimensions, the tadpole can be rendered finite by analytically continuing the closed string tachyon by hand; this diagram then naturally incorporates the (linearized) shift of the closed string background due to the presence of the brane. We observe that divergences at higher loops will doom any straightforward attempt at analyzing general quantum effects in bosonic open string field theory on a Dp-brane of any dimension, but our analysis does not uncover any potential obstacles to the existence of a sensible quantum open string field theory in the supersymmetric case.

Original language | English (US) |
---|---|

Pages (from-to) | 1383-1431 |

Number of pages | 49 |

Journal | Journal of High Energy Physics |

Volume | 7 |

Issue number | 7 |

State | Published - Jul 1 2003 |

Externally published | Yes |

### Fingerprint

### Keywords

- BRST Symmetry
- Bosonic Strings
- D-branes
- String Field Theory

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*7*(7), 1383-1431.

**Tadpoles and closed string backgrounds in open string field theory.** / Ellwood, Ian; Shelton, Jessie; Taylor, Washington.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 7, no. 7, pp. 1383-1431.

}

TY - JOUR

T1 - Tadpoles and closed string backgrounds in open string field theory

AU - Ellwood, Ian

AU - Shelton, Jessie

AU - Taylor, Washington

PY - 2003/7/1

Y1 - 2003/7/1

N2 - We investigate the quantum structure of Witten's cubic open bosonic string field theory by computing the one-loop contribution to the open string tadpole using both oscillator and conformal field theory methods. We find divergences and a breakdown of BRST invariance in the tadpole diagram arising from tachyonic and massless closed string states, and we discuss ways of treating these problems. For a Dp-brane with sufficiently many transverse dimensions, the tadpole can be rendered finite by analytically continuing the closed string tachyon by hand; this diagram then naturally incorporates the (linearized) shift of the closed string background due to the presence of the brane. We observe that divergences at higher loops will doom any straightforward attempt at analyzing general quantum effects in bosonic open string field theory on a Dp-brane of any dimension, but our analysis does not uncover any potential obstacles to the existence of a sensible quantum open string field theory in the supersymmetric case.

AB - We investigate the quantum structure of Witten's cubic open bosonic string field theory by computing the one-loop contribution to the open string tadpole using both oscillator and conformal field theory methods. We find divergences and a breakdown of BRST invariance in the tadpole diagram arising from tachyonic and massless closed string states, and we discuss ways of treating these problems. For a Dp-brane with sufficiently many transverse dimensions, the tadpole can be rendered finite by analytically continuing the closed string tachyon by hand; this diagram then naturally incorporates the (linearized) shift of the closed string background due to the presence of the brane. We observe that divergences at higher loops will doom any straightforward attempt at analyzing general quantum effects in bosonic open string field theory on a Dp-brane of any dimension, but our analysis does not uncover any potential obstacles to the existence of a sensible quantum open string field theory in the supersymmetric case.

KW - BRST Symmetry

KW - Bosonic Strings

KW - D-branes

KW - String Field Theory

UR - http://www.scopus.com/inward/record.url?scp=23044466954&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23044466954&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:23044466954

VL - 7

SP - 1383

EP - 1431

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 7

ER -