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A Gamma matrix identities

  1. Feb 17, 2017 #1
    Consider the matrix ##C = \gamma^{0}\gamma^{2}##.

    It is easy to prove the relations

    $$C^{2}=1$$
    $$C\gamma^{\mu}C = -(\gamma^{\mu})^{T}$$

    in the chiral basis of the gamma matrices.


    1. Do the two identities hold in any arbitrary basis of the gamma matrices?

    2. How is ##C## related to the charge conjugation operator?
     
  2. jcsd
  3. Feb 18, 2017 #2

    haushofer

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    Science Advisor

    Van Proeyen's Tools for Supersymmetry should be helpful :)
     
  4. Feb 18, 2017 #3

    PeterDonis

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    2016 Award

    Staff: Mentor

    Aren't they obviously basis independent?

    It is the charge conjugation operator.
     
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