Comparison of Regularization Methods for Nucleon-Nucleon Effective Field Theory
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.
Cite
@article{arxiv.nucl-th/9807022,
title = {Comparison of Regularization Methods for Nucleon-Nucleon Effective Field Theory},
author = {James V. Steele},
journal= {arXiv preprint arXiv:nucl-th/9807022},
year = {2007}
}
Comments
15 pages, 10 figures, uses sprocl.sty, contribution to the Caltech/INT Workshop: "Nuclear Physics with Effective Field Theories"