论文标题
量规连接的隐藏量子起源
The hidden quantum origin of gauge connections
论文作者
论文摘要
量规场理论的光纤束观点将重点放在可能的量子解释上。在定义纤维束上的连接的背景下，考虑了状态空间不可分割性的基本量子特性，从而导致量子原理应用于规格理论的几何和拓扑定义。结果，一个人可以合理地问自己是否是否所有标准模型的相互作用，甚至经典的重力都具有一定的量子成分。我采用标准的纤维束方法来引入规格理论，尽管众所周知，量子束存在，仅仅是因为主要范围是要以通常的方式表明我们制定经典规定理论的通常方式，人们可以找到迄今为止未知的量子方面。从某种意义上说，我将尝试证明我们要允许量规场和平行运输的评估是合理的，即使在我们的经典仪表理论中，我们也可能必须至少允许一定程度的量子。主要陈述是，时空中相互作用的传播是一种量子现象。
A fibre bundle viewpoint of gauge field theories is reviewed with focus on a possible quantum interpretation. The fundamental quantum properties of non-separability of state spaces is considered in the context of defining the connection on the fibre bundle, leading to an application of the quantum principles to the geometrical and topological definition of gauge theories. As a result, one could justifiably ask oneself if all interactions of the standard model, and perhaps even classical gravity have some quantum component after all. I employ a standard fibre bundle approach to introduce gauge theories, albeit it is known that a quantum bundle exists, simply because the main scope is to show that in the usual way in which we formulate classical gauge theories one can find quantum aspects that have been unknown until now. In a sense, I will try to justify the assessment that if we are to allow for gauge fields and parallel transport, we may have to allow at least some level of quantumness even in our classical gauge theories. The main statement is that propagation of interactions in spacetime is a quantum phenomenon.
