Limitations on the uses of Euclidean semiclassical methods

Jorge Willemsen

doi:10.1103/PhysRevD.20.3292

Limitations on the uses of Euclidean semiclassical methods

Jorge Willemsen

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8 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	3292-3310
Number of pages	19
Journal	Physical Review D
Volume	20
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevD.20.3292
State	Published - Jan 1 1979
Externally published	Yes

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ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Cite this

Willemsen, J. (1979). Limitations on the uses of Euclidean semiclassical methods. Physical Review D, 20(12), 3292-3310. https://doi.org/10.1103/PhysRevD.20.3292

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Access to Document

10.1103/PhysRevD.20.3292