dorsal/arxiv
View SchemaRegularization and the potential of effective field theory in nucleon-nucleon scattering
| Authors | D. R. Phillips |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9804040 |
| URL | https://arxiv.org/abs/nucl-th/9804040 |
Abstract
This paper examines the role that regularization plays in the definition of the potential used in effective field theory (EFT) treatments of the nucleon-nucleon interaction. I consider $NN$ scattering in $S$-wave channels at momenta well below the pion mass. In these channels (quasi-)bound states are present at energies well below the scale $m_\pi^2/M$ expected from naturalness arguments. I ask whether, in the presence of such a shallow bound state, there is a regularization scheme which leads to an EFT potential that is both useful and systematic. In general, if a low-lying bound state is present then cutoff regularization leads to an EFT potential which is useful but not systematic, and dimensional regularization with minimal subtraction leads to one which is systematic but not useful. The recently-proposed technique of dimensional regularization with power-law divergence subtraction allows the definition of an EFT potential which is both useful and systematic.
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"abstract": "This paper examines the role that regularization plays in the definition of\nthe potential used in effective field theory (EFT) treatments of the\nnucleon-nucleon interaction. I consider $NN$ scattering in $S$-wave channels at\nmomenta well below the pion mass. In these channels (quasi-)bound states are\npresent at energies well below the scale $m_\\pi^2/M$ expected from naturalness\narguments. I ask whether, in the presence of such a shallow bound state, there\nis a regularization scheme which leads to an EFT potential that is both useful\nand systematic. In general, if a low-lying bound state is present then cutoff\nregularization leads to an EFT potential which is useful but not systematic,\nand dimensional regularization with minimal subtraction leads to one which is\nsystematic but not useful. The recently-proposed technique of dimensional\nregularization with power-law divergence subtraction allows the definition of\nan EFT potential which is both useful and systematic.",
"arxiv_id": "nucl-th/9804040",
"authors": [
"D. R. Phillips"
],
"categories": [
"nucl-th",
"hep-ph"
],
"title": "Regularization and the potential of effective field theory in nucleon-nucleon scattering",
"url": "https://arxiv.org/abs/nucl-th/9804040"
},
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