FeynCalc manual (development version)

SUND

SUND[a, b, c] are the symmetric SU(N) d_{abc}.

See also

Overview, SUNDelta, SUNF, SUNSimplify.

Examples

SUND[a, b, c]

d^{abc}

SUND[a, b, c, Explicit -> True]

2 \left(\text{tr}(T^a.T^b.T^c)\right)+2 \left(\text{tr}(T^b.T^a.T^c)\right)

SUND[c, a, b]

d^{abc}

SUND[a, b, b]

d^{abb}

SUNSimplify[SUND[a, b, c] SUND[a, b, c]]

-2 \left(4-C_A^2\right) C_F

SUNSimplify[SUND[a, b, c] SUND[a, b, c], SUNNToCACF -> False] // Factor2

\frac{\left(1-N^2\right) \left(4-N^2\right)}{N}

SUNSimplify[SUND[a, b, c] SUND[e, b, c], SUNNToCACF -> False] // Factor2

-\frac{\left(4-N^2\right) \delta ^{ae}}{N}

SUND[a, b, c] // StandardForm

(*SUND[a, b, c]*)
SUND[a, b, c] // FCI // StandardForm

(*SUND[SUNIndex[a], SUNIndex[b], SUNIndex[c]]*)
SUND[a, b, c] // FCI // FCE // StandardForm

(*SUND[a, b, c]*)