CLC[m, n, r]
evaluates to Eps[CartesianIndex[m], CartesianIndex[n], CartesianIndex[r]]
applying FeynCalcInternal
.
CLC[m,...][p, ...]
evaluates to Eps[CartesianIndex[m], ..., CartesianMomentum[p], ...]
applying FeynCalcInternal
.
When some indices of a Levi-Civita-tensor are contracted with 3-vectors, FeynCalc suppresses explicit dummy indices by putting those vectors into the corresponding index slots. For example, (accessible via CLC[][p1,p2,p3]
) correspond to .
[i, j, k] CLC
[i, j, k] // FCI // StandardForm
CLC
(*Eps[CartesianIndex[i], CartesianIndex[j], CartesianIndex[k]]*)
[i][p, q] CLC
[i][p, q] // FCI // StandardForm
CLC
(*Eps[CartesianIndex[i], CartesianMomentum[p], CartesianMomentum[q]]*)
[CLC[i, j, k] CLC[i, l, m]] Contract
[i, j, k] CV[Subscript[p, 1], i] CV[Subscript[p, 2], j] CV[Subscript[p, 3], k]
CLC
[%]
Contract