TY - JOUR
T1 - Wilsonian RG and redundant operators in nonrelativistic effective field theory
AU - Harada, Koji
AU - Inoue, Kenzo
AU - Kubo, Hirofumi
N1 - Funding Information:
The authors would like to thank M.C. Birse for e-mail correspondences. One of the authors (K.H.) is partially supported by Grant-in-Aid for Scientific Research on Priority Area, Number of Area 763, “Dynamics of Strings and Fields”, from the Ministry of Education, Culture, Sports, Science and Technology, Japan. Another (K.I.) is partially supported by Grant-in-Aid for Scientific Research on Priority Area, Number of Area 441, “Progress in Elementary Particle Physics of the 21th Century though Discoveries of Higgs Boson and Supersymmetry” from the Ministry of Education, Culture, Sports, Science and Technology, Japan.
PY - 2006/5/25
Y1 - 2006/5/25
N2 - 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 nonrelativistic 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 off-shell scattering amplitude in the theory with the redundant operator.
AB - 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 nonrelativistic 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 off-shell scattering amplitude in the theory with the redundant operator.
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U2 - 10.1016/j.physletb.2006.03.072
DO - 10.1016/j.physletb.2006.03.072
M3 - Article
AN - SCOPUS:33646143999
SN - 0370-2693
VL - 636
SP - 305
EP - 309
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 6
ER -