## Abstract

We derive the exact expression of the four-spinon contribution S _{4} to the dynamical correlation function S of the spin 1/2 isotropic (XXX) He isenberg model in the antiferromagnetic regime using the quantum group symmetry of the model. We first give the exact expression for the n-spinon contribution in the form of contour integrals and display known results regarding the two-spinon contribution S _{2}. Then we specialize the n-spinon formula to the case n = 4 and compute three sum rules for S _{4} that the total S is known to satisfy exactly. These are: the total integrated intensity, the first frequency moment and the nearest-neighbor correlation function. We find that S _{4} corrects only by a small amount the contribution from S _{2}.

Original language | English |
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Pages (from-to) | 1461-1466 |

Number of pages | 6 |

Journal | Czechoslovak Journal of Physics |

Volume | 55 |

Issue number | 11 |

DOIs | |

Publication status | Published - Nov 2005 |

## Keywords

- Antiferromagnetic Heisenberg spin chain exact dynamic structure function sum rules

## ASJC Scopus subject areas

- Physics and Astronomy(all)