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Dirac Gamma matrices in the (-+++) metric

  1. Sep 12, 2011 #1
    Hi,

    The typical representation of the Dirac gamma matrices are designed for the +--- metric. For example

    /gamma^0 = [1 & 0 \\ 0 & -1] , /gamma^i = [0 & /sigma^i \\ - /sigma^i & 0]

    this corresponds to the metric +---

    Does anyone know a representation of the gamma matrices for -+++?

    Can you refer me to a published article or text?

    Thank you!

    Thomas Brennan
    Research Assistant Professor
    West Virginia Wesleyan College.
     
  2. jcsd
  3. Sep 12, 2011 #2

    haushofer

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    Look for instance at "Tools for supersymmetry" by Van Proeyen, or "Supersymmetry and Gauge theory" by Lambert.
     
  4. Sep 12, 2011 #3

    Bill_K

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    Weinberg, vol I uses the (-+++) signature, and gives a representation of the Dirac matrices on p.216.
     
  5. Sep 12, 2011 #4
    Bill_K:

    Thanks, what is the rest of the title? Steven Weinberg has written several books...

    Is it the 'Quantum Theory of Fields, vol. I"

    I think I answered my own question. Thanks.
     
    Last edited: Sep 12, 2011
  6. Sep 13, 2011 #5

    Avodyne

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    Yes, that's the book.

    Srednicki's text (downloadable from his web page) also has gamma matrices in (-+++) signature. But IIRC his conventions are not the same as Weinberg's.
     
  7. Sep 13, 2011 #6

    Avodyne

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    Yes, that's the book.

    Srednicki's text (downloadable from his web page) also has gamma matrices in (-+++) signature. But IIRC his conventions are not the same as Weinberg's.

    Actually I think Srednicki's gamma matrices are the same as yours. But he puts an extra minus sign on the RHS of the anticommutator:

    [tex]\{\gamma^\mu,\gamma^\nu\}=-2\eta^{\mu\nu}[/tex]
     
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