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Gamma matrices

  1. May 28, 2007 #1
    Dear All,

    Could you pls remind me how do I decompose arbitrary 4x4 matrix into Dirac 16 matrices...

    I ve forgotten.

    Thank you
  2. jcsd
  3. May 30, 2007 #2


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    If your unknown matrix is really a sum of gamma matrices you could try using the defining characteristic of the gamma matrices, {gamma_m,gamma_n}=2*g_mn. But not every 4x4 matrix is a sum of gamma matrices.
  4. May 30, 2007 #3

    George Jones

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    I don't know how to answer Neitrino's question, but I think Neitrino is asking about using the gamma matrices and their products to form a basis for the 16-dimensional vector space of 4x4 matrices. Usually, this space is written as a direct sum of subspaces of dimensions 1, 4, 6, 4, 1.
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