This could not be true in a gauge theory.
A theory with such a property is called a gauge theory.
All the fundamental interactions in nature are described by gauge theories.
Most of the interesting Lie groups are non-abelian, and these play an important role in gauge theory.
These contributions to mathematics from gauge theory have led to a renewed interest in this area.
Similar considerations describe the geometry of gauge theories in general.
Gauge theories are usually discussed in the language of differential geometry.
The method is particularly appealing for the quantization of a gauge theory.
Local symmetries play an important role in physics as they form the basis for gauge theories.
One can obtain the equations for the gauge theory by:
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