ImplicitSUNFIndex
is a data type. It mainly applies to names of quantum fields specifying that the corresponding field carries an implicit SU(N) index in the fundamental representation.
This information can be supplied e.g. via DataType[QuarkField, ImplicitSUNFIndex] = True
, where QuarkField
is a possible name of the relevant field.
The ImplicitSUNFIndex
property becomes relevant when simplifying noncommutative products involving QuantumField
s via ExpandPartialD
, DotSimplify
.
Overview, DataType, ImplicitDiracIndex, ImplicitPauliIndex
Default (possibly unwanted) behavior
= QuantumField[AntiQuarkField] . SUNT[a] . QuantumField[QuarkField] ex
\bar{\psi }.T^a.\psi
[ex] DotSimplify
\bar{\psi }.\psi T^a
[ex] ExpandPartialD
\bar{\psi }.\psi T^a
Now we let FeynCalc know that AntiQuarkField
and QuarkField
carry an implicit color index that connects them to the color matrix.
[QuarkField, ImplicitSUNFIndex] = True;
DataType[AntiQuarkField, ImplicitSUNFIndex] = True; DataType
[ex] DotSimplify
\bar{\psi }.T^a.\psi
[ex] ExpandPartialD
\bar{\psi }.T^a.\psi