抄録
Nuclear effective field theory (NEFT) including pions in the two-nucleon sector is examined from the Wilsonian renormalization group point of view. The pion exchange is cut off at the floating cutoff scale, Λ, with the short-distance part being represented as contact interactions in accordance with the general principle of renormalization. We derive the nonperturbative renormalization group equations in the leading order of the nonrelativistic approximation in the operator space up to including O(p2), and find the nontrivial fixed points in the 1S0 and 3S1-3D1 channels which are identified with those in the pionless NEFT. The scaling dimensions, which determine the power counting, of the contact interactions at the nontrivial fixed points are also identified with those in the pionless NEFT. We emphasize the importance of the separation of the pion exchange into the short-distance and the long-distance parts, since a part of the former is nonperturbative while the latter is perturbative.
| 元の言語 | 英語 |
|---|---|
| 記事番号 | 034002 |
| ジャーナル | Physical Review C - Nuclear Physics |
| 巻 | 83 |
| 発行部数 | 3 |
| DOI | |
| 出版物ステータス | 出版済み - 3 8 2011 |
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All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
これを引用
Pions are neither perturbative nor nonperturbative : Wilsonian renormalization-group analysis of nuclear effective field theory including pions. / Harada, Koji; Kubo, Hirofumi; Yamamoto, Yuki.
：: Physical Review C - Nuclear Physics, 巻 83, 番号 3, 034002, 08.03.2011.研究成果: ジャーナルへの寄稿 › 記事
}
TY - JOUR
T1 - Pions are neither perturbative nor nonperturbative
T2 - Wilsonian renormalization-group analysis of nuclear effective field theory including pions
AU - Harada, Koji
AU - Kubo, Hirofumi
AU - Yamamoto, Yuki
PY - 2011/3/8
Y1 - 2011/3/8
N2 - Nuclear effective field theory (NEFT) including pions in the two-nucleon sector is examined from the Wilsonian renormalization group point of view. The pion exchange is cut off at the floating cutoff scale, Λ, with the short-distance part being represented as contact interactions in accordance with the general principle of renormalization. We derive the nonperturbative renormalization group equations in the leading order of the nonrelativistic approximation in the operator space up to including O(p2), and find the nontrivial fixed points in the 1S0 and 3S1-3D1 channels which are identified with those in the pionless NEFT. The scaling dimensions, which determine the power counting, of the contact interactions at the nontrivial fixed points are also identified with those in the pionless NEFT. We emphasize the importance of the separation of the pion exchange into the short-distance and the long-distance parts, since a part of the former is nonperturbative while the latter is perturbative.
AB - Nuclear effective field theory (NEFT) including pions in the two-nucleon sector is examined from the Wilsonian renormalization group point of view. The pion exchange is cut off at the floating cutoff scale, Λ, with the short-distance part being represented as contact interactions in accordance with the general principle of renormalization. We derive the nonperturbative renormalization group equations in the leading order of the nonrelativistic approximation in the operator space up to including O(p2), and find the nontrivial fixed points in the 1S0 and 3S1-3D1 channels which are identified with those in the pionless NEFT. The scaling dimensions, which determine the power counting, of the contact interactions at the nontrivial fixed points are also identified with those in the pionless NEFT. We emphasize the importance of the separation of the pion exchange into the short-distance and the long-distance parts, since a part of the former is nonperturbative while the latter is perturbative.
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U2 - 10.1103/PhysRevC.83.034002
DO - 10.1103/PhysRevC.83.034002
M3 - Article
AN - SCOPUS:79960567759
VL - 83
JO - Physical Review C - Nuclear Physics
JF - Physical Review C - Nuclear Physics
SN - 0556-2813
IS - 3
M1 - 034002
ER -