Space-time properties of a boson-dressed fermion for the Yukawa model
Space-time properties of a boson-dressed fermion for the Yukawa model
复制标题
汤川模型的玻色子费米子的时空特性
DOI：
10.1103/physreva.82.032108
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发表时间：
2010
影响因子：
2.9
通讯作者：
R. Grobe
中科院分区：
文献类型：
--
作者：
R. Wagner;M. Ware;Q. Su;R. Grobe
我们通过一维汤川模型分析了费米子和玻色子的相互作用。我们数值计算的能量本征态，代表一个物理费米子，这是一个叠加的裸费米子和玻色子本征态的非耦合哈密顿量。事实证明，即使是快的裸费米子也只需要低动量的缀饰玻色子，它们通过量子关联与快费米子相连。我们比较了一个物理费米子的时空演化与它的裸对应物，并显示使用修饰的观测值的重要性。质心的时间演化以及波包的空间宽度表明，物理粒子的质量低于其裸组分的质量之和。数值预测的缀饰质量与最低阶微扰理论的缀饰质量以及从相应的费曼图得到的重整化质量一致。对于一个给定的动量，这个较低的质量导致一个更快的物理粒子和波包的不同的相对论性传播行为。
We analyze the interaction of fermions and bosons through a one-dimensional Yukawa model. We numerically compute the energy eigenstates that represent a physical fermion, which is a superposition of bare fermionic and bosonic eigenstates of the uncoupled Hamiltonian. It turns out that even fast bare fermions require only low-momentum dressing bosons, which attach themselves to the fast fermion through quantum correlations. We compare the space-time evolution of a physical fermion with that of its bare counterpart and show the importance of using dressed observables. The time evolution of the center of mass as well as the wave packet's spatial width suggests that the physical particle has a lower mass than the sum of the masses of its bare constituents. The numerically predicted dressed mass agrees with that from lowest-order perturbation theory as well as with the renormalized mass obtained from the corresponding Feynman graphs. For a given momentum, this lower mass leads to a faster physical particle and a different relativistic spreading behavior of the wave packet.