dorsal/arxiv
View SchemaWilsonian RG and Redundant Operators in Nonrelativistic Effective Field Theory
| Authors | Koji Harada, Kenzo Inoue, Hirofumi Kubo |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0511020 |
| URL | https://arxiv.org/abs/nucl-th/0511020 |
| DOI | 10.1016/j.physletb.2006.03.072 |
| Journal | Phys.Lett. B636 (2006) 305-309 |
Abstract
In a Wilsonian renormalization group (RG) analysis, redundant operators, which may be eliminated by using field redefinitions, emerge naturally. It is therefore important to include them. We consider a nonrelativisitic effective theory (the so-called ``pionless'' Nuclear Effective Field Theory) as a concrete example and show that the off-shell amplitudes cannot be renormalized if the redundant operators are not included. The relation between the theories with and without such redundant operators is established in the low-energy expansion. We perform a Wilsonian RG analysis for the \textit{off-shell} scattering amplitude in the theory with the redundant operator.
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"abstract": "In a Wilsonian renormalization group (RG) analysis, redundant operators,\nwhich may be eliminated by using field redefinitions, emerge naturally. It is\ntherefore important to include them. We consider a nonrelativisitic effective\ntheory (the so-called ``pionless\u0027\u0027 Nuclear Effective Field Theory) as a\nconcrete example and show that the off-shell amplitudes cannot be renormalized\nif the redundant operators are not included. The relation between the theories\nwith and without such redundant operators is established in the low-energy\nexpansion. We perform a Wilsonian RG analysis for the \\textit{off-shell}\nscattering amplitude in the theory with the redundant operator.",
"arxiv_id": "nucl-th/0511020",
"authors": [
"Koji Harada",
"Kenzo Inoue",
"Hirofumi Kubo"
],
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"nucl-th",
"hep-ph",
"hep-th"
],
"doi": "10.1016/j.physletb.2006.03.072",
"journal_ref": "Phys.Lett. B636 (2006) 305-309",
"title": "Wilsonian RG and Redundant Operators in Nonrelativistic Effective Field Theory",
"url": "https://arxiv.org/abs/nucl-th/0511020"
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