### 摘要

We show that the degenerate positive-norm physical propagating fields of the open bosonic string can be gauged to the higher rank fields at the same mass level. As a result, their scattering amplitudes can be determined from those of the higher spin fields. This phenomenon arises from the existence of two types of zero-norm states with the same Young representations as those of the degenerate positive-norm states in the old covariant first quantized (OCFQ) spectrum. This is demonstrated by using the lowest order gauge transformation of Witten’s string field theory (WSFT) up to the fourth massive level (spin-five), and is found to be consistent with conformal field theory calculation based on the first quantized generalized sigma-model approach. In particular, on-shell conditions of zero-norm states in the OCFQ stringy gauge transformation are found to correspond, in a one-to-one manner, to the background ghost fields in off-shell gauge transformation of WSFT. The implication of decoupling of scalar modes on Sen’s conjectures is also briefly discussed.

原文 | 英語 |
---|---|

期刊 | Physical Review D - Particles, Fields, Gravitation and Cosmology |

卷 | 67 |

發行號 | 8 |

DOIs | |

出版狀態 | 已發佈 - 2003 一月 1 |

### 指紋

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### 引用此文

**Decoupling of degenerate positive-norm states in Witten’s string field theory.** / Kao, Hsien Chung; Lee, Jen Chi.

研究成果: 雜誌貢獻 › 文章

}

TY - JOUR

T1 - Decoupling of degenerate positive-norm states in Witten’s string field theory

AU - Kao, Hsien Chung

AU - Lee, Jen Chi

PY - 2003/1/1

Y1 - 2003/1/1

N2 - We show that the degenerate positive-norm physical propagating fields of the open bosonic string can be gauged to the higher rank fields at the same mass level. As a result, their scattering amplitudes can be determined from those of the higher spin fields. This phenomenon arises from the existence of two types of zero-norm states with the same Young representations as those of the degenerate positive-norm states in the old covariant first quantized (OCFQ) spectrum. This is demonstrated by using the lowest order gauge transformation of Witten’s string field theory (WSFT) up to the fourth massive level (spin-five), and is found to be consistent with conformal field theory calculation based on the first quantized generalized sigma-model approach. In particular, on-shell conditions of zero-norm states in the OCFQ stringy gauge transformation are found to correspond, in a one-to-one manner, to the background ghost fields in off-shell gauge transformation of WSFT. The implication of decoupling of scalar modes on Sen’s conjectures is also briefly discussed.

AB - We show that the degenerate positive-norm physical propagating fields of the open bosonic string can be gauged to the higher rank fields at the same mass level. As a result, their scattering amplitudes can be determined from those of the higher spin fields. This phenomenon arises from the existence of two types of zero-norm states with the same Young representations as those of the degenerate positive-norm states in the old covariant first quantized (OCFQ) spectrum. This is demonstrated by using the lowest order gauge transformation of Witten’s string field theory (WSFT) up to the fourth massive level (spin-five), and is found to be consistent with conformal field theory calculation based on the first quantized generalized sigma-model approach. In particular, on-shell conditions of zero-norm states in the OCFQ stringy gauge transformation are found to correspond, in a one-to-one manner, to the background ghost fields in off-shell gauge transformation of WSFT. The implication of decoupling of scalar modes on Sen’s conjectures is also briefly discussed.

UR - http://www.scopus.com/inward/record.url?scp=85039015846&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85039015846&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.67.086003

DO - 10.1103/PhysRevD.67.086003

M3 - Article

AN - SCOPUS:85039015846

VL - 67

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 8

ER -