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Bounds on Correlation Functions of Quantum Rotators

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

We derive a McBryan-Spencer bound to the correlation function of a one-dimensional array of quantum rotators in the Villain approximation of the cosine interaction. We obtain the partition function of the system in the gas representation and establish a lower bound on the external charge correlation function. We also discuss the possible existence of a Kosterlitz-Thouless phase for the quantum rotator in the Villain approximation.

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Cite

@article{arxiv.math-ph/9905004,
  title  = {Bounds on Correlation Functions of Quantum Rotators},
  author = {Oscar Bolina and J. Rodrigo Parreira},
  journal= {arXiv preprint arXiv:math-ph/9905004},
  year   = {2007}
}

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Latex 7 pages