Contractiong of indices of Pauli matrix. #
The main result of this file is pauliMatrix_contract_pauliMatrix
which states that
η_{μν} σ^{μ α dot β} σ^{ν α' dot β'} = 2 ε^{αα'} ε^{dot β dot β'}
.
The current way this result is proved is by using tensor tree manipulations. There is likely a more direct path to this result.