FeynCalc manual (development version)

CartesianIndexNames

CartesianIndexNames is an option for FCFAConvert, FCCanonicalizeDummyIndices and other functions. It renames the generic dummy Cartesian indices to the indices in the supplied list.

See also

Overview, FCFAConvert, FCCanonicalizeDummyIndices, CartesianIndexNames.

Examples

CLC[i1, i2, i3] CGA[i1, i2, i3] 
 
FCCanonicalizeDummyIndices[%]

γ‾i1.γ‾i2.γ‾i3ϵˉi1  i2  i3\overline{\gamma }^{\text{i1}}.\overline{\gamma }^{\text{i2}}.\overline{\gamma }^{\text{i3}} \bar{\epsilon }^{\text{i1}\;\text{i2}\;\text{i3}}

γ‾FCGV(ci201).γ‾FCGV(ci202).γ‾FCGV(ci203)ϵˉFCGV(ci201)FCGV(ci202)FCGV(ci203)\overline{\gamma }^{\text{FCGV}(\text{ci201})}.\overline{\gamma }^{\text{FCGV}(\text{ci202})}.\overline{\gamma }^{\text{FCGV}(\text{ci203})} \bar{\epsilon }^{\text{FCGV}(\text{ci201})\text{FCGV}(\text{ci202})\text{FCGV}(\text{ci203})}

CLC[i1, i2, i3] CGA[i1, i2, i3] 
 
FCCanonicalizeDummyIndices[%, CartesianIndexNames -> {i, j, k}]

γ‾i1.γ‾i2.γ‾i3ϵˉi1  i2  i3\overline{\gamma }^{\text{i1}}.\overline{\gamma }^{\text{i2}}.\overline{\gamma }^{\text{i3}} \bar{\epsilon }^{\text{i1}\;\text{i2}\;\text{i3}}

γ‾i.γ‾j.γ‾kϵˉijk\overline{\gamma }^i.\overline{\gamma }^j.\overline{\gamma }^k \bar{\epsilon }^{ijk}