12 Facts About Gauge theory

In physics, a gauge theory is a type of field theory in which the Lagrangian does not change under local transformations according to certain smooth families of operations .

Gauge theory fields are included in the Lagrangian to ensure its invariance under the local group transformations .

When such a theory is quantized, the quanta of the gauge fields are called gauge bosons.

Gauge theory theories are important as the successful field theories explaining the dynamics of elementary particles.

Gauge theory theories became even more attractive when it was realized that non-abelian gauge theories reproduced a feature called asymptotic freedom.

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In other words, the distinguishing characteristic of a gauge theory is that the gauge field does not merely compensate for a poor choice of coordinate system; there is generally no gauge transformation that makes the gauge field vanish.

Gauge theory theories used to model the results of physical experiments engage in:.

The starting point of a quantum field theory is much like that of its continuum analog: a gauge-covariant action integral that characterizes "allowable" physical situations according to the principle of least action.

Gauge theory field is an element of the Lie algebra, and can therefore be expanded as.

The interpretation of the interaction Lagrangian in quantum field theory is of scalar bosons interacting by the exchange of these gauge bosons.

Gauge theory theories are usually discussed in the language of differential geometry.

Some symmetries of the classical Gauge theory are then seen not to hold in the quantum Gauge theory; a phenomenon called an anomaly.