Feynman slash notation
In the study of Dirac fields in quantum field theory, Richard Feynman invented the convenient Feynman slash notation (less commonly known as the Dirac slash notation). If "A" is a covariant vector (i.e., a 1-form), using the Einstein summation notation where "γ" are the gamma matrices. Identities. Using the anticommutators of the gamma matrices, one can show that for any formula_2 and formula_3, where formula_5 is the identity matrix in four dimensions. In particular, Further identities can be read off directly from the gamma matrix identities by replacing the metric tensor with inner products. For example , where formula_8 is the Levi-Civita symbol. With four-momentum. Often, when using the Dirac equation and solving for cross sections, one finds the slash notation used on four-momentum: using the Dirac basis for the gamma matrices, as well as the definition of four-momentum, we see explicitly that Similar results hold in other bases, such as the Weyl basis.