Does anyone know exactly how Srednicki identitifies the electromagnetic gauge field with his [itex]l,r,b [/itex] fields. I know he is trying to match covariant derivatives, i.e.(adsbygoogle = window.adsbygoogle || []).push({});

[itex] D_{\mu} p=(\partial_{\mu}-il_{\mu})p[/itex] with [itex]D_{\mu} p=(\partial_{\mu}-ieA_{\mu})p[/itex]

and that he has set [itex]l_{\mu}=l_{\mu}^a T^a+b_{\mu} [/itex]

and also match [itex] D_{\mu} n=(\partial_{\mu}-ir_{\mu})n[/itex] with [itex]D_{\mu} n=(\partial_{\mu})n[/itex]

and that he has set [itex]r_{\mu}=r_{\mu}^a T^a+b_{\mu} [/itex]

But I don't seem to be able to work out the fine print of arriving at (90.20):

[tex] eA_{\mu}=l^3_{\mu}+r_{\mu}^3+1/2b_{\mu} [/tex]

from these.

I guess it must be quite simple, and I thought maybe I should just expand the [itex]T^{a} [/itex] gens in terms of Pauli then solve simultaneously, but this didn't quite seem to work out..

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Srednicki (ch90)

Loading...

Similar Threads - Srednicki ch90 | Date |
---|---|

Clarification of spinor solutions in Srednicki | Feb 16, 2016 |

Another question from Srednicki's QFT book | Jul 16, 2014 |

Derivation in Srednicki's which got me puzzled. | Jul 15, 2014 |

Srednicki 58: EM current conservation & Gauge Symmetry | Jun 26, 2014 |

**Physics Forums - The Fusion of Science and Community**