Non-critical strings at high energy

Kenichiro Aoki, Eric D'Hoker

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We consider scattering amplitudes in non-critical string theory of N external states in the limit where the energy of all external states is large compared to the string tension. We argue that the amplitudes are naturally complex analytic in the matter central charge c and we propose to define the amplitudes for arbitrary value of c by analytic continuation. We show that the high energy limit is dominated by a saddle point that can be mapped onto an equilibrium electrostatic energy configuration of an assembly of N pointlike (Minkowskian) charges, together with a density of charges arising from the Liouville field. We argue that the Liouville charges accumulate on segments of curves, and produce quadratic branch cuts on the world-sheet. The electrostatics problem is solved for string tree level in terms of hyper-elliptic integrals and is given explicitly for three-and four-point functions. We show that the high energy limit should behave in a string-like fashion with exponential dependence on the energy scale for generic values of c.

Original languageEnglish
Pages (from-to)40-74
Number of pages35
JournalNuclear Physics B
Volume490
Issue number1-2
Publication statusPublished - 1997 Apr 14

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strings
energy
electrostatics
elliptic functions
saddle points
scattering amplitude
string theory
assembly
curves
configurations

Keywords

  • High-energy scattering
  • Non-critical strings

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Aoki, K., & D'Hoker, E. (1997). Non-critical strings at high energy. Nuclear Physics B, 490(1-2), 40-74.

Non-critical strings at high energy. / Aoki, Kenichiro; D'Hoker, Eric.

In: Nuclear Physics B, Vol. 490, No. 1-2, 14.04.1997, p. 40-74.

Research output: Contribution to journalArticle

Aoki, K & D'Hoker, E 1997, 'Non-critical strings at high energy', Nuclear Physics B, vol. 490, no. 1-2, pp. 40-74.
Aoki K, D'Hoker E. Non-critical strings at high energy. Nuclear Physics B. 1997 Apr 14;490(1-2):40-74.
Aoki, Kenichiro ; D'Hoker, Eric. / Non-critical strings at high energy. In: Nuclear Physics B. 1997 ; Vol. 490, No. 1-2. pp. 40-74.
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