(adsbygoogle = window.adsbygoogle || []).push({}); Dirac Matrix Property? Possible Book mistake? Derive KG from Dirac

I got a copy of QFT demystified and on pg. 89 he says he can write [itex]\gamma_{\nu} \gamma^{\mu} = g_{\nu \sigma} \gamma^{\sigma} \gamma^{\mu} = g_{\nu \sigma} \frac{1}{2} (\gamma^{\sigma} \gamma^{\mu} + \gamma^{\mu} \gamma^{\sigma}) [/itex]

and i am trying to figure out why this is because the only reason I could see why it's true is if [itex]\gamma^{\mu} \gamma^{\nu} = \gamma^{\nu} \gamma^{\mu}[/itex] which for the love of my brain I can't figure out why that would be true, I'm pretty sure it's not. Is this a book mistake. For reference what he is doing is deriving the KG equation starting from Dirac.

on another note, regardless of the answer what i am actually looking for is a derivation of the kg equation starting from dirac, or perhaps the other way around. if someone can point me to that, that is a fine answer as well.

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

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

# Dirac Matrix Property? Possible Book mistake?

Loading...

Similar Threads for Dirac Matrix Property | Date |
---|---|

I Is the Dirac free equation actually free | Tuesday at 8:50 AM |

A Dirac Spin Exchange Operator | Aug 15, 2016 |

Charge conjugation matrix and Dirac equation's solutions | Sep 20, 2015 |

Solution to the dirac equation and the square root of a matrix? | Sep 15, 2012 |

Matrix operators Dirac notation | Jul 13, 2012 |

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