Limitations on the uses of Euclidean semiclassical methods

Jorge F. Willemsen

doi:10.1103/PhysRevD.20.3292

Limitations on the uses of Euclidean semiclassical methods

Jorge F. Willemsen

Research output: Contribution to journal › Article › peer-review

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 - 1979
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Access to Document

10.1103/PhysRevD.20.3292

Fingerprint Dive into the research topics of 'Limitations on the uses of Euclidean semiclassical methods'. Together they form a unique fingerprint.

Cite this

@article{e02ffdf4d99247d79deacb927775fbdd,

title = "Limitations on the uses of Euclidean semiclassical methods",

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.",

author = "Willemsen, {Jorge F.}",

year = "1979",

doi = "10.1103/PhysRevD.20.3292",

language = "English (US)",

volume = "20",

pages = "3292--3310",

journal = "Physical review D: Particles and fields",

issn = "0556-2821",

publisher = "American Institute of Physics Publising LLC",

number = "12",

}

TY - JOUR

T1 - Limitations on the uses of Euclidean semiclassical methods

AU - Willemsen, Jorge F.

PY - 1979

Y1 - 1979

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.

UR - http://www.scopus.com/inward/record.url?scp=4243309220&partnerID=8YFLogxK

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 -