论文标题
Feynman Checkers：实时的晶格量子场理论
Feynman checkers: lattice quantum field theory with real time
论文作者
论文摘要
我们提出了一个新的全基本模型，描述了沿线非相互作用电子和正电子的创造，an灭和运动。这是对feynman Checkers或一维量子步行的已知模型的修改。它可以看作是具有某些复杂角色权重的六个vertex模型。离散模型与连续量子场理论一致，即，将已知的预期电荷密度重现为晶格步骤趋于零。它可以从高几幅功能方面完全解决。我们引入了类似于费米理论并建立扰动扩展的互动。
We present a new completely elementary model that describes the creation, annihilation, and motion of non-interacting electrons and positrons along a line. It is a modification of the model known under the names Feynman checkers or one-dimensional quantum walk. It can be viewed as a six-vertex model with certain complex weights of the vertices. The discrete model is consistent with the continuum quantum field theory, namely, reproduces the known expected charge density as the lattice step tends to zero. It is exactly solvable in terms of hypergeometric functions. We introduce interaction resembling Fermi's theory and establish perturbation expansion.
