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[%]

γˉi1.γˉi2.γˉi3.γˉi4ϵˉi1  i2  i3  i4\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}}

γˉFCGV(li191).γˉFCGV(li192).γˉFCGV(li193).γˉFCGV(li194)ϵˉFCGV(li191)FCGV(li192)FCGV(li193)FCGV(li194)\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}]

γˉi1.γˉi2.γˉi3.γˉi4ϵˉi1  i2  i3  i4\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}}

γˉmu.γˉnu.γˉrho.γˉsiϵˉmu  nu  rho  si\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}}