Computational approach for calculating bound states in quantum field theory
Computational approach for calculating bound states in quantum field theory
复制标题
计算量子场论中束缚态的计算方法
DOI：
10.1103/physreva.94.032110
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发表时间：
2016
影响因子：
2.9
通讯作者：
R. Grobe
中科院分区：
文献类型：
--
作者：
Q. Lv;S. Norris;R. Brennan;E. Stefanovich;Q. Su;R. Grobe
本文提出了一种计算量子场论模型束缚态能量和波函数的非微扰方法。它是基于相应的量子场论哈密顿量在一个有效的截断和离散的希尔伯特空间的直接对角化。我们说明了这种方法的Yukawa费米子和玻色子之间的相互作用在一个空间维度，并显示它同意传统的方法的基础上潜在的图片和它偏离由于反冲和辐射校正。这种方法还使我们能够初步了解基态费米子分布的空间特征，如韧致辐射引起的加宽。
We propose a non-perturbative approach to calculate bound state energies and wave functions for quantum field theoretical models. It is based on the direct diagonalization of the corresponding quantum field theoretical Hamiltonian in an effectively truncated and discretized Hilbert space. We illustrate this approach for a Yukawa-like interaction between fermions and bosons in one spatial dimension and show where it agrees with the traditional method based on the potential picture and where it deviates due to recoil and radiative corrections. This method permits us also to obtain some first insight into the spatial characteristics of the distribution of the fermions in the ground state, such as the bremsstrahlung-induced widening.