Coupling Constant - Gauge Coupling

Gauge Coupling

In a non-Abelian gauge theory, the gauge coupling parameter, , appears in the Lagrangian as

(where is the gauge field tensor) in some conventions. In another widely used convention, is rescaled so that the coefficient of the kinetic term is 1/4 and appears in the covariant derivative. This should be understood to be similar to a dimensionless version of the electric charge defined as

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