Numerical study of renormalization group flows of nuclear effective field theory without pions on a lattice
Numerical study of renormalization group flows of nuclear effective field theory without pions on a lattice
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晶格上无π介子的核有效场论重正化群流的数值研究
DOI：
10.1103/physrevc.94.024004
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发表时间：
2016
影响因子：
3.1
通讯作者：
M. Yahiro
中科院分区：
文献类型：
--
作者：
K. Harada;S. Sasabe;M. Yahiro
我们在空间晶格上制定了双核扇区中没有π介子的次前导核有效场理论，并通过对哈密顿量进行数值对角化来研究强耦合区域中的非微扰重正化群流。耦合常数的截止（与晶格常数的倒数成正比）依赖性是通过在固定基态的结合能和渐近归一化常数的情况下改变晶格常数来获得的。我们认为，可以通过观察基态能量的有限尺寸依赖性来获得临界线。我们确定相关算子并定位非平凡不动点，以及无量纲耦合常数二维平面中氘核对应的物理流线。事实证明，非平凡不动点的位置与相应解析计算得到的位置非常接近，但相关算子却有很大不同。
We formulate the next-to-leading-order nuclear effective field theory without pions in the two-nucleon sector on a spatial lattice and investigate nonperturbative renormalization group flows in the strong-coupling region by diagonalizing the Hamiltonian numerically. The cutoff (proportional to the inverse of the lattice constant) dependence of the coupling constants is obtained by changing the lattice constant with the binding energy and the asymptotic normalization constant for the ground state being fixed. We argue that the critical line can be obtained by looking at the finite-size dependence of the ground-state energy. We determine the relevant operator and locate the nontrivial fixed point, as well as the physical flow line corresponding to the deuteron in the two-dimensional plane of dimensionless coupling constants. It turns out that the location of the nontrivial fixed point is very close to the one obtained by the corresponding analytic calculation, but the relevant operator is quite different.