摘要：
We reexamine the Parisi-Klauder conjecture for complex e(i theta/2)phi(4) measures with a Wick rotation angle 0 0 asymptotic expansion which is shown to be Bore! summable. The Borel transform correctly reproduces the time dependent moments of the complex measure for all t, including their t -> infinity equilibrium values. On the other hand the results of a direct numerical simulation of the Langevin moments are found to disagree from the 'correct' result for t larger than a finite t(c). The breakdown time t, increases powerlike for decreasing strength of the noise's imaginary part but cannot be excluded to be finite for purely real noise. To ascertain the discrepancy we also compute the real equilibrium distribution for complex noise explicitly and verify that its moments differ from those obtained with the complex measure. (C) 2012 Elsevier Inc. All rights reserved.
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