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

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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 1 2010

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symmetry
approximation
pions
perturbation theory

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

Apparently Noninvariant Terms of U(N) × U(N) nonlinear sigma model in the one-loop approximation. / Harada, Koji; Kubo, Hirofumi; Yamamoto, Yuki.

In: Progress of Theoretical Physics, Vol. 123, No. 3, 01.03.2010, p. 475-498.

Research output: Contribution to journalArticle

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