This video will introduce the main concept behind gauge theories, that physics should be `gauge invariant'. I will be avoiding technical details involving principal bundles (a gauge field is a connection in a principal bundle) as I have not yet covered all the required material (yet!).

A gauge is simply an arbitrary representation of physical reality (the Kelvin or Celsius scales for temperature for example). Since this is simply an arbitrary assignment, we must always be able to define a `gauge transformation' between any possible gauge we can construct, and such a transformation ensures that physics remains gauge invariant.

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