 ##  [Gauge Field](/index.php/gauge-field) 

  ##  [Gauge Field](https://natural.quantumdictionary.io/gauge-field-0) 

  
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**Natural &amp; Formal Sciences Dictionary**

 
Definition

A field that defines a local symmetry connection by prescribing how internal degrees of freedom are compared at nearby points, mathematically realized as a connection on a principal bundle and physically manifesting as mediator fields of interactions.