Limitations on the uses of Euclidean semiclassical methods

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The breakdown of semiclassical methods based on solutions of the Euclidean equations of motion is studied for the case of the quartic potential. The model is nontrivial, yet sufficiently tractable that techniques for careful treatment of non-Gaussian fluctuation modes can be illustrated clearly. It is shown how such fluctuations prohibit one from employing the semiclassical method once the dilute-gas approximation becomes invalid. Speculations are advanced regarding the relevance of these results to quantum chromodynamics.

Original languageEnglish (US)
Pages (from-to)3292-3310
Number of pages19
JournalPhysical Review D
Issue number12
StatePublished - Jan 1 1979
Externally publishedYes


ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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