Apparently Noninvariant Terms of U(N) × U(N) nonlinear sigma model in the one-loop approximation

Koji Harada, Hirofumi Kubo, Yuki Yamamoto

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We show how the Apparently Noninvariant Terms (ANTs), which emerge in perturbation theory of nonlinear sigma models, are consistent with the nonlinearly realized symmetry by employing the Ward-Takahashi identity (in the form of an inhomogeneous Zinn-Justin equation). In the literature the discussions on ANTs are confined to the SU(2) case. We generalize them to the U(N) case and demonstrate explicitly at the one-loop level that despite the presence of divergent ANTs in the effective action of the "pions", the symmetry is preserved.

Original languageEnglish
Pages (from-to)475-498
Number of pages24
JournalProgress of Theoretical Physics
Volume123
Issue number3
DOIs
Publication statusPublished - Mar 2010

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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