论文标题
标量场理论在1+1维度中的机械化
Mechanization of scalar field theory in 1+1 dimensions
论文作者
论文摘要
“机械化”是一个过程，该过程是用零件线性函数在1+1维中替换标量场，即由$ n $ tocts（vertices）和直段（边缘）组成的有限图。结果，通过一系列代数可拖动的通用集体坐标机械模型来近似野外理论。随着$ n $的增加，我们观察到动态对象和相关现象的逐步出现。机械界和机械圈质 - 扭结和oscillons（bions）的机械类似物 - 出现在最简单的模型中，而更复杂的动态模式，例如弹跳现象和bion成对生产，逐渐出现为高$ N $ MECH-ISCILLONS的衰减状态。
The `mechanization' is a procedure of replacing a scalar field in 1+1 dimensions with a piece-wise linear function, i.e. a finite graph consisting of $N$ joints (vertices) and straight segments (edges). As a result, the field theory is approximated by a sequence of algebraically tractable, general-purpose collective coordinate mechanical models. We observe the step-by-step emergence of dynamical objects and associated phenomena as the $N$ increases. Mech-kinks and mech-oscillons -- mechanical analogs of kinks and oscillons (bions) -- appear in the simplest models, while more intricate dynamical patterns, such as bouncing phenomenon and bion pair-production, emerge gradually as decay states of high $N$ mech-oscillons.
