dorsal/arxiv
View SchemaEffective Theory for the non-relativistic three-body System
| Authors | H. -W. Hammer |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9811047 |
| URL | https://arxiv.org/abs/nucl-th/9811047 |
Abstract
We discuss renormalization of the non-relativistic three-body problem with short-range forces. The problem becomes non-perturbative at momenta of the order of the inverse of the two-body scattering length, and an infinite number of graphs must be summed. This summation leads to a cutoff dependence that does not appear in any order in perturbation theory. We argue that this cutoff dependence can be absorbed in a single three-body counterterm and compute the running of the three-body force with the cutoff.
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"abstract": "We discuss renormalization of the non-relativistic three-body problem with\nshort-range forces. The problem becomes non-perturbative at momenta of the\norder of the inverse of the two-body scattering length, and an infinite number\nof graphs must be summed. This summation leads to a cutoff dependence that does\nnot appear in any order in perturbation theory. We argue that this cutoff\ndependence can be absorbed in a single three-body counterterm and compute the\nrunning of the three-body force with the cutoff.",
"arxiv_id": "nucl-th/9811047",
"authors": [
"H. -W. Hammer"
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"title": "Effective Theory for the non-relativistic three-body System",
"url": "https://arxiv.org/abs/nucl-th/9811047"
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