dorsal/arxiv
View SchemaComparison of Regularization Methods for Nucleon-Nucleon Effective Field Theory
| Authors | James V. Steele |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9807022 |
| URL | https://arxiv.org/abs/nucl-th/9807022 |
Abstract
The characteristics of a meaningful effective field theory (EFT) analysis are discussed and compared with traditional approaches to NN scattering. A key feature of an EFT treatment is a systematic expansion in powers of momentum, which is demonstrated using an error analysis introduced by Lepage. A clear graphical determination of the radius of convergence for the momentum expansion is also obtained. I use these techniques to compare cutoff regularization, two forms of dimensional regularization, and the dibaryon approach, using a simple model for illustration. The naturalness of the parameters and predictions for other observables are also shown.
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"abstract": "The characteristics of a meaningful effective field theory (EFT) analysis are\ndiscussed and compared with traditional approaches to NN scattering. A key\nfeature of an EFT treatment is a systematic expansion in powers of momentum,\nwhich is demonstrated using an error analysis introduced by Lepage. A clear\ngraphical determination of the radius of convergence for the momentum expansion\nis also obtained. I use these techniques to compare cutoff regularization, two\nforms of dimensional regularization, and the dibaryon approach, using a simple\nmodel for illustration. The naturalness of the parameters and predictions for\nother observables are also shown.",
"arxiv_id": "nucl-th/9807022",
"authors": [
"James V. Steele"
],
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"title": "Comparison of Regularization Methods for Nucleon-Nucleon Effective Field Theory",
"url": "https://arxiv.org/abs/nucl-th/9807022"
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