Abstract
We point out that, to compute by hand a Gaussian integral ∫ exp · (− ∑ L∈LΓ y l r 2 ij d r n+1 ...d r n+k , where the sum runs over all linesL = (i,j) of a graph andr ij = ¦r i −r j ¦, the simplest way is to use the star-mesh transformation, well known in electrical network theory. We apply this to test, on a relatively complicatedn-graph, the accuracy of an estimation method that we proposed elsewhere [Phys. Lett. 62A:295 (1977)].
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Lavaud, M. Estimates of general Mayer graphs. IV. On the computation of Gaussian integrals by the star-mesh transformation. J Stat Phys 27, 57–64 (1982). https://doi.org/10.1007/BF01011739
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DOI: https://doi.org/10.1007/BF01011739