| 標題： | 理論セミナー：Correlation Functions and Quantum Spin Chains
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| 内容： | 理論セミナー
日時：2003年12月19日（金） 午後4時～5時
場所：物性研究所本館 6階 A615号室
講師：German Boos 氏
（所属） (東京大学物性研究所)
題目：Correlation Functions and Quantum Spin Chains
要旨：
We discuss the problem of evaluation of correlation functions at
zero temperature for the spin-1/2 XXX and XXZ Heisenberg spin chains.
The basic points of our consideration are the multiple integral
representation for the correlation functions obtained by Jimbo and
Miwa in 1996 and also its relation to the quantum Knizhnik-Zamolodchikov
(qKZ) equation. We argue that the multiple integrals can be reduced to
one-dimensional integrals of deformed hyperelliptic type. In particular,
for the homogeneous XXX model the answer for correlation functions can
be expressed in terms of the Riemann zeta function at odd arguments.This
fact appears to be rather useful for both numeric and analytic analyses.
世話人：高田 康民 (ext. 63280)
email: takada@issp.u-tokyo.ac.jp |
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