MORE ABOUT THE WILSONIAN ANALYSIS ON THE PIONLESS NEFT

被引:12
作者
Harada, Koji [1 ]
Kubo, Hirofumi [1 ]
Ninomiya, Atsushi [1 ]
机构
[1] Kyushu Univ, Dept Phys, Fukuoka 8128581, Japan
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2009年 / 24卷 / 16-17期
关键词
Renormalization group; nuclear effective field theory; EFFECTIVE-FIELD THEORY; NUCLEON-NUCLEON-SCATTERING; RENORMALIZATION-GROUP EQUATION; CHIRAL LAGRANGIANS; FORCES; REGULARIZATION; SYSTEMS; RESONANCES; EXPANSION; BEHAVIOR;
D O I
10.1142/S0217751X09044528
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We extend our Wilsonian renormalization group (RG) analysis on the pionless nuclear effective. field theory in the two-nucleon sector in two ways; on the one hand, (1) we enlarge the space of operators up to including those of O(p(4)) in the S waves, and, on the other hand, (2) we consider the RG. flows in higher partial waves (P and D waves). In the larger space calculations, we. find, in addition to nontrivial. fixed points, two "fixed lines" and a "fixed surface" which are related to marginal operators. In the higher partial wave calculations, we. find similar phase structures to that of the S waves, but there are two relevant directions in the P waves at the nontrivial. fixed points and three in the D waves. We explain the physical meaning of the P-wave phase structure by explicitly calculating the low-energy scattering amplitude. We also discuss the relation between the Legendre flow equation which we employ and the RG equation by Birse, McGovern and Richardson, and possible implementation of power divergence subtraction in higher partial waves.
引用
收藏
页码:3191 / 3225
页数:35
相关论文
共 55 条
  • [1] Adams A., ARXIV08024081
  • [2] Causality, analyticity and an IR obstruction to UV completion
    Adams, Allan
    Arkani-Hamed, Nima
    Dubovsky, Sergei
    Nicolis, Alberto
    Rattazzi, Riccardo
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2006, (10):
  • [3] CONSISTENCY OF THE CHIRAL PION-PION SCATTERING-AMPLITUDES WITH AXIOMATIC CONSTRAINTS
    ANANTHANARAYAN, B
    TOUBLAN, D
    WANDERS, G
    [J]. PHYSICAL REVIEW D, 1995, 51 (03): : 1093 - 1100
  • [4] Towards a perturbative theory of nuclear forces
    Beane, SR
    Bedaque, PF
    Savage, MJ
    van Kolck, U
    [J]. NUCLEAR PHYSICS A, 2002, 700 (1-2) : 377 - 402
  • [5] BEANE SR, 2000, FRONTIER PARTICLE HD, V1, pCH3
  • [6] Effective field theory for few-nucleon systems
    Bedaque, PF
    van Kolck, U
    [J]. ANNUAL REVIEW OF NUCLEAR AND PARTICLE SCIENCE, 2002, 52 : 339 - 396
  • [7] Narrow resonances in effective field theory
    Bedaque, PF
    Hammer, HW
    van Kolck, U
    [J]. PHYSICS LETTERS B, 2003, 569 (3-4) : 159 - 167
  • [8] Non-perturbative renormalization flow in quantum field theory and statistical physics
    Berges, J
    Tetradis, N
    Wetterich, C
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 363 (4-6): : 223 - 386
  • [9] Effective field theory for halo nuclei:: shallow p-wave states
    Bertulani, CA
    Hammer, HW
    van Kolck, U
    [J]. NUCLEAR PHYSICS A, 2002, 712 (1-2) : 37 - 58
  • [10] A renormalisation-group treatment of two-body scattering
    Birse, MC
    McGovern, JA
    Richardson, KG
    [J]. PHYSICS LETTERS B, 1999, 464 (3-4) : 169 - 176