### Abstract

We summarize recent work, in which we consider scattering amplitudes of non-critical strings in the limit where the energy of all external states is large compared to the string tension. We show that the high energy limit is dominated by a saddle point that can be mapped onto an electrostatic equilibrium configuration of an assembly of charges associated with the external states, together with a density of charges arising from the Liouville field. The Liouville charges accumulate on line segments, which produce quadratic branch cuts on the worldsheet. The electrostatics problem is solved for string tree level in terms of hyperelliptic integrals and is given explicitly for the 3- and 4-point functions. For generic values of the central charge, the high energy limit behaves in a string-like fashion, with exponential energy dependence.

Original language | English |
---|---|

Pages (from-to) | 1253-1263 |

Number of pages | 11 |

Journal | International Journal of Modern Physics A |

Volume | 12 |

Issue number | 6 |

Publication status | Published - 1997 Mar 10 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Mathematical Physics
- Nuclear and High Energy Physics

### Cite this

*International Journal of Modern Physics A*,

*12*(6), 1253-1263.

**High energy scattering of non-critical strings.** / Aoki, Kenichiro; D'Hoker, Eric.

Research output: Contribution to journal › Article

*International Journal of Modern Physics A*, vol. 12, no. 6, pp. 1253-1263.

}

TY - JOUR

T1 - High energy scattering of non-critical strings

AU - Aoki, Kenichiro

AU - D'Hoker, Eric

PY - 1997/3/10

Y1 - 1997/3/10

N2 - We summarize recent work, in which we consider scattering amplitudes of non-critical strings in the limit where the energy of all external states is large compared to the string tension. We show that the high energy limit is dominated by a saddle point that can be mapped onto an electrostatic equilibrium configuration of an assembly of charges associated with the external states, together with a density of charges arising from the Liouville field. The Liouville charges accumulate on line segments, which produce quadratic branch cuts on the worldsheet. The electrostatics problem is solved for string tree level in terms of hyperelliptic integrals and is given explicitly for the 3- and 4-point functions. For generic values of the central charge, the high energy limit behaves in a string-like fashion, with exponential energy dependence.

AB - We summarize recent work, in which we consider scattering amplitudes of non-critical strings in the limit where the energy of all external states is large compared to the string tension. We show that the high energy limit is dominated by a saddle point that can be mapped onto an electrostatic equilibrium configuration of an assembly of charges associated with the external states, together with a density of charges arising from the Liouville field. The Liouville charges accumulate on line segments, which produce quadratic branch cuts on the worldsheet. The electrostatics problem is solved for string tree level in terms of hyperelliptic integrals and is given explicitly for the 3- and 4-point functions. For generic values of the central charge, the high energy limit behaves in a string-like fashion, with exponential energy dependence.

UR - http://www.scopus.com/inward/record.url?scp=27644447947&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=27644447947&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:27644447947

VL - 12

SP - 1253

EP - 1263

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

SN - 0217-751X

IS - 6

ER -