论文标题
概率的细胞自动机，用于相互作用的费米子量子场理论
Probabilistic cellular automata for interacting fermionic quantum field theories
论文作者
论文摘要
经典的局部细胞自动机可以描述费米子的相互作用量子场理论。我们为具有假想耦合的特定版本的特定版本构建一个简单的经典自动机。这种相互作用的费米量子场理论遵守单一时间的演变，并显示了量子力学的所有特性。具有概率初始条件的经典细胞自动机在量子力学的形式主义中接受描述。我们的模型表现出有趣的特征，例如自发对称性破坏或孤子。相同的模型可以作为广义的ISING模型配方。可以通过统计物理学的标准技术作为蒙特卡洛模拟来研究这种欧几里得晶格模型。我们的模型就是一个例子，量子力学是如何从经典统计中出现的。
A classical local cellular automaton can describe an interacting quantum field theory for fermions. We construct a simple classical automaton for a particular version of the Thirring model with imaginary coupling. This interacting fermionic quantum field theory obeys a unitary time evolution and shows all properties of quantum mechanics. Classical cellular automata with probabilistic initial conditions admit a description in the formalism of quantum mechanics. Our model exhibits interesting features as spontaneous symmetry breaking or solitons. The same model can be formulated as a generalized Ising model. This euclidean lattice model can be investigated by standard techniques of statistical physics as Monte Carlo simulations. Our model is an example how quantum mechanics emerges from classical statistics.
