Wilsonian RG and Redundant Operators in Nonrelativistic Effective Field Theory

Details Wilsonian RG and Redundant Operators in Nonrelativistic Effective Field Theory Wilsonian RG and Redundant Operators in Nonrelativistic Effective Field Theory

2005-11-07

arxiv.org/abs/nucl-th/0511020v3

Phys.Lett. B636 (2006) 305-309

Physics

Nuclear Physics

Nuclear Theory

5 pages in two columns, no figures; corrected typos, a version to be published in PLB

Scientific paper

10.1016/j.physletb.2006.03.072

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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