Evaluation of Integrals Representing Correlations in the XXX Heisenberg Spin Chain

H E Boos,V E Korepin

doi:10.1007/978-1-4612-0087-1_4

Evaluation of Integrals Representing Correlations in the XXX Heisenberg Spin Chain

H E Boos, V E Korepin

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https://doi.org/10.1007/978-1-4612-0087-1_4

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Publication Date: Sep 10, 2001

Citations: 25

Affiliation: Stony Brook University, State University of New York

#Anti-ferromagnetic Ground State #Thermodynamical Limit + Show 8 more

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Abstract

We study the XXX Heisenberg spin 1/2 anti-ferromagnet. We evaluate a probability of formation of a ferromagnetic string in the anti-ferromagnetic ground state in the thermodynamical limit. We prove that for short strings the probability can be expressed in terms of the Riemann zeta function with odd arguments.KeywordsCorrelation FunctionZeta FunctionSpin ChainRiemann Zeta FunctionShort StringThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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