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

Koji Harada, Hirofumi Kubo, Yuki Yamamoto

研究成果: ジャーナルへの寄稿記事

1 引用 (Scopus)

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
123
発行部数3
DOI
出版物ステータス出版済み - 3 1 2010

Fingerprint

symmetry
approximation
pions
perturbation theory

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

これを引用

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

:: Progress of Theoretical Physics, 巻 123, 番号 3, 01.03.2010, p. 475-498.

研究成果: ジャーナルへの寄稿記事

@article{ede650a3f1274c8d9a414671c6504a58,
title = "Apparently Noninvariant Terms of U(N) × U(N) nonlinear sigma model in the one-loop approximation",
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.",
author = "Koji Harada and Hirofumi Kubo and Yuki Yamamoto",
year = "2010",
month = "3",
day = "1",
doi = "10.1143/PTP.123.475",
language = "English",
volume = "123",
pages = "475--498",
journal = "Progress of Theoretical Physics",
issn = "0033-068X",
publisher = "Published for the Research Institute for Fundamental Physics by Physical Society of Japan",
number = "3",

}

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 -