### Abstract

In this paper we use the Matrix string approach to begin a study of high-energy scattering processes in M-theory. In particular we exhibit an instanton-type configuration in 1 + 1 super-Yang-Mills theory that can be interpreted as a non-perturbative description of a string interaction. This solution is used to describe high-energy processes with non-zero longitudinal momentum exchange, in which an arbitrary number of eigenvalues get transferred between the two scattering states. We describe a direct correspondence between these semi-classical SYM configurations and the Gross-Mende saddle points. We also study in detail the pair production of D-particles via a one-loop calculation which in the 1 + 1-dimensional gauge theory language is described by the (perturbative) transition between states with different electric flux. Finally, we discuss a possible connection between these calculations in which D-particle production gives important corrections to the Gross-Mende process.

Original language | English (US) |
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Pages (from-to) | 260-296 |

Number of pages | 37 |

Journal | Nuclear Physics B |

Volume | 537 |

Issue number | 1-3 |

DOIs | |

State | Published - Jan 4 1999 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Keywords

- D-particle pair creation
- Gross-Mende saddle point
- Matrix string theory
- String interactions

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## Cite this

*Nuclear Physics B*,

*537*(1-3), 260-296. https://doi.org/10.1016/S0550-3213(98)00662-2