Gauge Is More Than Mathematical Redundancy

Gauge Is More Than Mathematical Redundancy
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仪表不仅仅是数学冗余

DOI:
10.1007/978-3-030-51197-5_4
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发表时间:
2020
期刊:
arXiv: High Energy Physics - Theory
影响因子:
--
通讯作者:
C. Rovelli
C. Rovelli
中科院分区:
--
文献类型:
--
作者:
C. Rovelli

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物理系统可以通过非规范不变的变量耦合到其他系统。当我们将规范系统分成两个子系统时,两个子系统的规范不变变量比原始系统的规范不变变量具有更少的信息;缺失的信息涉及表达子系统之间关系的自由度。所有这些都表明,规范不变性是物理自由度的关系性质的形式化。边界变量和边界电荷的最新发展澄清了这一观察。
Physical systems may couple to other systems through variables that are not gauge invariant. When we split a gauge system into two subsystems, the gauge-invariant variables of the two subsystems have less information than the gauge invariant variables of the original system; the missing information regards degrees of freedom that express relations between the subsystems. All this shows that gauge invariance is a formalization of the relational nature of physical degrees of freedom. The recent developments on boundary variables and boundary charges are clarified by this observation.