Alright, I understand that there are redundant degrees of freedom in the Lagrangian, and because transformations between these possible "gauges" can be parametrized by a continuous variable, we can form a Lie Group.(adsbygoogle = window.adsbygoogle || []).push({});

What I am not so firm upon is how Lie Algebras, specifically, the Lie Algebra of the group generators, relates to this. I understand that a Lie Algebra is basically a vector space over a field with a binary operation, but I don't see how this can be used to analyze the corresponding Lie group.

Essentially, how do we go from gauge group to gauge field?

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# Relation between Lie Algebras and Gauge Groups

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