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 | |
| State | Published - Jan 1 1979 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
Cite this
Limitations on the uses of Euclidean semiclassical methods. / Willemsen, Jorge.
In: Physical Review D, Vol. 20, No. 12, 01.01.1979, p. 3292-3310.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Limitations on the uses of Euclidean semiclassical methods
AU - Willemsen, Jorge
PY - 1979/1/1
Y1 - 1979/1/1
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=4243309220&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.20.3292
DO - 10.1103/PhysRevD.20.3292
M3 - Article
AN - SCOPUS:4243309220
VL - 20
SP - 3292
EP - 3310
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 0556-2821
IS - 12
ER -