TY - JOUR

T1 - Anomalous dimensions determine the power counting

T2 - Wilsonian RG analysis of nuclear EFT

AU - Harada, Koji

AU - Kubo, Hirofumi

N1 - Funding Information:
We would like to thank Y. Yamamoto for several useful discussions. We are also grateful to H. Gies for pointing out the wrong placing of the derivative in Section 3 in the earlier manuscript. One of the authors (K.H.) is partially supported by Grant-in-Aid for Scientific Research on Priority Area, Number of Area 763, “Dynamics of Strings and Fields”, from the Ministry of Education, Culture, Sports, Science and Technology, Japan.

PY - 2006/12/11

Y1 - 2006/12/11

N2 - The Legendre flow equation, a version of exact Wilsonian renormalization group (WRG) equation, is employed to consider the power counting issues in nuclear effective field theory. A WRG approach is an ideal framework because it is nonperturbative and does not require any prescribed power counting rule. The power counting is determined systematically from the scaling dimensions of the operators at the nontrivial fixed point. The phase structure is emphasized and the inverse of the scattering length, which is identified as a relevant coupling, is shown to play a role of the order parameter. The relations to the work done by Birse, McGovern, and Richardson and to the Kaplan-Savage-Wise scheme are explained.

AB - The Legendre flow equation, a version of exact Wilsonian renormalization group (WRG) equation, is employed to consider the power counting issues in nuclear effective field theory. A WRG approach is an ideal framework because it is nonperturbative and does not require any prescribed power counting rule. The power counting is determined systematically from the scaling dimensions of the operators at the nontrivial fixed point. The phase structure is emphasized and the inverse of the scattering length, which is identified as a relevant coupling, is shown to play a role of the order parameter. The relations to the work done by Birse, McGovern, and Richardson and to the Kaplan-Savage-Wise scheme are explained.

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U2 - 10.1016/j.nuclphysb.2006.10.001

DO - 10.1016/j.nuclphysb.2006.10.001

M3 - Article

AN - SCOPUS:33750943421

VL - 758

SP - 304

EP - 329

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -