Gauge Covariant Derivative

The gauge covariant derivative is like a generalization of the covariant derivative used in general relativity. If a theory has gauge transformations, it means that some physical properties of certain equations are preserved under those transformations. Likewise, the gauge covariant derivative is the ordinary derivative modified in such a way as to make it behave like a true vector operator, so that equations written using the covariant derivative preserve their physical properties under gauge transformations.

Read more about Gauge Covariant DerivativeFluid Dynamics, Gauge Theory, General Relativity

Other articles related to "gauge covariant derivative":

Gauge Covariant Derivative - General Relativity
... In general relativity, the gauge covariant derivative is defined as where is the Christoffel symbol ...

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