Wilsonian RG and redundant operators in nonrelativistic effective field theory

Koji Harada, Kenzo Inoue, Hirofumi Kubo

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)

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 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.

Original languageEnglish
Pages (from-to)305-309
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume636
Issue number6
DOIs
Publication statusPublished - May 25 2006

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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