Correlation functionals of infinite volume quantum spin systems |
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Authors: | William Greenberg |
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Affiliation: | (1) Physics Department, Harvard University, Cambridge, Mass |
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Abstract: | The existence and analyticity of the correlation functionals of a quantum lattice in the infinite volume limit is proved. The result is valid at sufficiently high temperatures and for a large class of interactions. Our method estimates the kernelK for a set of Kirkwood-Salzburg equations. While a naive estimate would indicate that K=, we take into account cancellations between different contributions toK in order to show that for sufficiently high temperatures K <1, and this estimate is independent of the volume of the system.Supported in part by the Air Force Office of Scientific Research. |
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