High energy scattering of non-critical strings

Kenichiro Aoki, Eric D'Hoker

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)1253-1263
Number of pages11
JournalInternational Journal of Modern Physics A
Volume12
Issue number6
Publication statusPublished - 1997 Mar 10

Fingerprint

High Energy
strings
Strings
Charge
Scattering
scattering
Electrostatics
electrostatics
energy
Scattering Amplitude
Accumulate
saddle points
Line segment
Saddlepoint
Energy
scattering amplitude
Branch
assembly
Configuration
configurations

ASJC Scopus subject areas

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

Cite this

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

In: International Journal of Modern Physics A, Vol. 12, No. 6, 10.03.1997, p. 1253-1263.

Research output: Contribution to journalArticle

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