 ##  [Principal Connection (Gauge Connection)](/principal-connection-gauge-connection) 

  ##  [Principal Connection (Gauge Connection)](https://natural.quantumdictionary.io/principal-connection-gauge-connection-0) 

  
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**Natural &amp; Formal Sciences Dictionary**

 
Definition

A Lie-algebra-valued one-form on a principal bundle that selects horizontal subspaces in each tangent space, defining parallel transport and inducing covariant derivatives on associated vector bundles; in physics it appears as the gauge potential.