 01129 H.Boos. V.Korepin
 Quantum Spin Chains and Riemann Zeta Function wtih Odd Arguments
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Apr 3, 01

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Abstract. Riemann zeta function is an important object of number theory.
We argue that it is related to Heisenberg spin 1/2 antiferromagnet.
In the XXX spin chain we study the probability of formation of a
ferromagnetic string in the antiferromagnetic ground state.
We prove that for short strings the probability can be expressed
in terms of Riemann zeta function with odd arguments.
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