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Results tagged with gauge-theory
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user 83339
A gauge theory has internal degrees of freedom that do not affect the foretold physical outcomes of the theory. The theory has a Lie group of *continuous symmetries* of these internal degrees of freedom, *i.e.* the predicted physics under any transformation in this group on the degrees of freedom. Examples include the $U(1)$-symmetric quantum electrodynamics and other Yang-Mills theories wherein non-Abelian groups replace the $U(1)$ gauge group of QED.
2
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The notion of fixing a gauge
Try and think about the gravitational potential on Earth $V(x)$. If you add a constant in space to the potential $V(x)+c$, its gradient $F=-\nabla V(x)$ remains unaltered. So the description of physic …
1
vote
1
answer
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Transformations of electroweak gauge field $W_\mu$ under $U(1)_{e.m.}$
As the vector boson field $W_\mu$ is, together with $Z^0$, the gauge field for the Standard electroweak model, I know it transforms as a connection under the $SU(2)\times U(1)_Y$ group. But, when this …
0
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Accepted
Transformations of electroweak gauge field $W_\mu$ under $U(1)_{e.m.}$
From the previous comments, I'm quite sure $W_\mu$ transforms with a phase-factor.
$$W_\mu \rightarrow e^{i\theta}W_\mu$$
therefore mixing the charged components of the $W$ field.