### Abstract

We formulate a fermionic Dirichlet problem on a cylinder for each of the various sectors of the spinning string. We find solutions using a generalization of Green's theorem. The Green functions are given, via a "double trick", in terms of Green functions on a torus. This explains the appearance of elliptic functions in expressions for the corresponding string propagators.

Original language | English (US) |
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Pages (from-to) | 265-272 |

Number of pages | 8 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 224 |

Issue number | 3 |

DOIs | |

State | Published - Jun 29 1989 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Riemann-double construction for spinning string propagators.** / Liu, Jun; Mezincescu, Alexandru; Nepomechie, Rafael.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Riemann-double construction for spinning string propagators

AU - Liu, Jun

AU - Mezincescu, Alexandru

AU - Nepomechie, Rafael

PY - 1989/6/29

Y1 - 1989/6/29

N2 - We formulate a fermionic Dirichlet problem on a cylinder for each of the various sectors of the spinning string. We find solutions using a generalization of Green's theorem. The Green functions are given, via a "double trick", in terms of Green functions on a torus. This explains the appearance of elliptic functions in expressions for the corresponding string propagators.

AB - We formulate a fermionic Dirichlet problem on a cylinder for each of the various sectors of the spinning string. We find solutions using a generalization of Green's theorem. The Green functions are given, via a "double trick", in terms of Green functions on a torus. This explains the appearance of elliptic functions in expressions for the corresponding string propagators.

UR - http://www.scopus.com/inward/record.url?scp=45149143098&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=45149143098&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(89)91227-6

DO - 10.1016/0370-2693(89)91227-6

M3 - Article

AN - SCOPUS:45149143098

VL - 224

SP - 265

EP - 272

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3

ER -