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Feynman Slash Notation




:A\!\!\!/\equiv \gamma^\mu A_\mu

using the Einstein Summation Notation where ''γ'' are the Gamma Matrices .


IDENTITIES

Using the Anticommutator s of the gamma matrices, one can show that for any a_\mu,
:a\!\!\!/a\!\!\!/=a^\mu a_\mu=a^2.
In particular,
:\partial\!\!\!/^2=\partial^2.

Further identities can be read off directly from the Gamma Matrix Identities by replacing the Metric Tensor with Inner Product s. For example,
  • \operatorname{tr}(a\!\!\!/b\!\!\!/)=4a\cdot b

  • \gamma^\mu a\!\!\!/\gamma_\mu=-2a\!\!\!/