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Nuclear Theory

arXiv:nucl-th/0511020 (nucl-th)
[Submitted on 7 Nov 2005 (v1), last revised 21 Apr 2006 (this version, v3)]

Title:Wilsonian RG and Redundant Operators in Nonrelativistic Effective Field Theory

Authors:Koji Harada, Kenzo Inoue, Hirofumi Kubo
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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.
Comments: 5 pages in two columns, no figures; corrected typos, a version to be published in PLB
Subjects: Nuclear Theory (nucl-th); High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)
Report number: KYUSHU-HET-88
Cite as: arXiv:nucl-th/0511020
  (or arXiv:nucl-th/0511020v3 for this version)
  https://doi.org/10.48550/arXiv.nucl-th/0511020
Journal reference: Phys.Lett. B636 (2006) 305-309
Related DOI: https://doi.org/10.1016/j.physletb.2006.03.072

Submission history

From: Koji Harada [view email]
[v1] Mon, 7 Nov 2005 09:33:21 UTC (12 KB)
[v2] Thu, 26 Jan 2006 09:17:17 UTC (12 KB)
[v3] Fri, 21 Apr 2006 11:01:05 UTC (13 KB)
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