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[%]

γi1.γi2.γi3ϵˉi1  i2  i3\overline{\gamma }^{\text{i1}}.\overline{\gamma }^{\text{i2}}.\overline{\gamma }^{\text{i3}} \bar{\epsilon }^{\text{i1}\;\text{i2}\;\text{i3}}

γFCGV(ci201).γFCGV(ci202).γFCGV(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}]

γi1.γi2.γi3ϵˉi1  i2  i3\overline{\gamma }^{\text{i1}}.\overline{\gamma }^{\text{i2}}.\overline{\gamma }^{\text{i3}} \bar{\epsilon }^{\text{i1}\;\text{i2}\;\text{i3}}

γi.γj.γkϵˉijk\overline{\gamma }^i.\overline{\gamma }^j.\overline{\gamma }^k \bar{\epsilon }^{ijk}