FeynCalc manual (development version)

LorentzIndexNames

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

See also

Overview, FCFAConvert, FCCanonicalizeDummyIndices, CartesianIndexNames.

Examples

LC[i1, i2, i3, i4] GA[i1, i2, i3, i4] 
 
FCCanonicalizeDummyIndices[%]

\bar{\gamma }^{\text{i1}}.\bar{\gamma }^{\text{i2}}.\bar{\gamma }^{\text{i3}}.\bar{\gamma }^{\text{i4}} \bar{\epsilon }^{\text{i1}\;\text{i2}\;\text{i3}\;\text{i4}}

\bar{\gamma }^{\text{FCGV}(\text{li191})}.\bar{\gamma }^{\text{FCGV}(\text{li192})}.\bar{\gamma }^{\text{FCGV}(\text{li193})}.\bar{\gamma }^{\text{FCGV}(\text{li194})} \bar{\epsilon }^{\text{FCGV}(\text{li191})\text{FCGV}(\text{li192})\text{FCGV}(\text{li193})\text{FCGV}(\text{li194})}

LC[i1, i2, i3, i4] GA[i1, i2, i3, i4] 
 
FCCanonicalizeDummyIndices[%, LorentzIndexNames -> {mu, nu, rho, si}]

\bar{\gamma }^{\text{i1}}.\bar{\gamma }^{\text{i2}}.\bar{\gamma }^{\text{i3}}.\bar{\gamma }^{\text{i4}} \bar{\epsilon }^{\text{i1}\;\text{i2}\;\text{i3}\;\text{i4}}

\bar{\gamma }^{\text{mu}}.\bar{\gamma }^{\text{nu}}.\bar{\gamma }^{\text{rho}}.\bar{\gamma }^{\text{si}} \bar{\epsilon }^{\text{mu}\;\text{nu}\;\text{rho}\;\text{si}}