dorsal/arxiv
View SchemaQuartic Anharmonicity in Different Spatial Dimensions
| Authors | G. V. Efimov, G. Ganbold |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208037 |
| URL | https://arxiv.org/abs/quant-ph/0208037 |
Abstract
A path-integral method effective beyond the perturbation expansion approach is suggested to consider the quartic anharmonicity in different spatial dimensions. Due to an optimal representation of the partition function, the leading term has already taken into account the correct strong-coupling behaviour. In the simplest cases of zero and one dimension we have obtained reasonable results in a simple way. Then, this technique is applied to the superrenormalizable scalar theory phi^4_2 in two dimensions. This results in an accurate estimation of the ground-state energy that provides exact weak- and strong-coupling behaviour already in the leading-order approximation. The next-to-leading terms give rise in insignificant corrections.
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"abstract": "A path-integral method effective beyond the perturbation expansion approach\nis suggested to consider the quartic anharmonicity in different spatial\ndimensions. Due to an optimal representation of the partition function, the\nleading term has already taken into account the correct strong-coupling\nbehaviour. In the simplest cases of zero and one dimension we have obtained\nreasonable results in a simple way. Then, this technique is applied to the\nsuperrenormalizable scalar theory phi^4_2 in two dimensions. This results in an\naccurate estimation of the ground-state energy that provides exact weak- and\nstrong-coupling behaviour already in the leading-order approximation. The\nnext-to-leading terms give rise in insignificant corrections.",
"arxiv_id": "quant-ph/0208037",
"authors": [
"G. V. Efimov",
"G. Ganbold"
],
"categories": [
"quant-ph"
],
"title": "Quartic Anharmonicity in Different Spatial Dimensions",
"url": "https://arxiv.org/abs/quant-ph/0208037"
},
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