### 抄録

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.

元の言語 | 英語 |
---|---|

ページ（範囲） | 475-498 |

ページ数 | 24 |

ジャーナル | Progress of Theoretical Physics |

巻 | 123 |

発行部数 | 3 |

DOI | |

出版物ステータス | 出版済み - 3 1 2010 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

### これを引用

*Progress of Theoretical Physics*,

*123*(3), 475-498. https://doi.org/10.1143/PTP.123.475

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

研究成果: ジャーナルへの寄稿 › 記事

*Progress of Theoretical Physics*, 巻. 123, 番号 3, pp. 475-498. https://doi.org/10.1143/PTP.123.475

}

TY - JOUR

T1 - Apparently Noninvariant Terms of U(N) × U(N) nonlinear sigma model in the one-loop approximation

AU - Harada, Koji

AU - Kubo, Hirofumi

AU - Yamamoto, Yuki

PY - 2010/3/1

Y1 - 2010/3/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=77953925491&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77953925491&partnerID=8YFLogxK

U2 - 10.1143/PTP.123.475

DO - 10.1143/PTP.123.475

M3 - Article

AN - SCOPUS:77953925491

VL - 123

SP - 475

EP - 498

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

IS - 3

ER -