A note on cluster expansions,tree graph identities,extra 1/N! factors!!! |
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| Authors: | G A Battle P Federbush |
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| Institution: | (1) Department of Mathematics, Texas A & M University, 77843 College Station, TE, USA;(2) Department of Mathematics, The University of Michigan, 48109 Ann Arbor, MI, USA |
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| Abstract: | We draw attention to a new tree graph identity which substantially improves on the usual tree graph method of proving convergence of cluster expansions in statistical mechanics and quantum field theory. We can control expansions that could not be controlled before.This work was supported in part by the National Science Foundation under Grants No. PHY01011 and MCS 83 01116. |
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