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Qmechanic ♦
Qmechanic ♦
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SU(1) into SU(2)
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Riccardo Buscicchio
Riccardo Buscicchio
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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(1)\times U(1)_Y$$SU(2)\times U(1)_Y$ group. But, when this simmetry is broken to $U(1)_{e.m.}$, which is the transformation associated to $W_\mu$?

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 $SU(1)\times U(1)_Y$ group. But, when this simmetry is broken to $U(1)_{e.m.}$, which is the transformation associated to $W_\mu$?

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 simmetry is broken to $U(1)_{e.m.}$, which is the transformation associated to $W_\mu$?

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Riccardo Buscicchio
Riccardo Buscicchio
  • 353
  • 2
  • 12

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 $SU(1)\times U(1)_Y$ group. But, when this simmetry is broken to $U(1)_{e.m.}$, which is the transformation associated to $W_\mu$?