Calc[exp]
performs several simplifications that involve Contract
, DiracSimplify
, SUNSimplify
, DotSimplify
, EpsEvaluate
, ExpandScalarProduct
, PowerSimplify
, Expand2
and Trick
.
Overview, Trick, DiracSimplify, DiracTrick.
This calculates \gamma ^{\mu} \gamma _{\mu} in 4 dimensions and g_{\nu }^{\nu} in D dimensions.
[GA[\[Mu], \[Mu]]] Calc
4
[ MTD[\[Nu], \[Nu]]] Calc
D
This simplifies f_{abc} f_{abe}
[SUNF[a, b, c] SUNF[a, b, e]] Calc
C_A \delta ^{ce}
[p + r, \[Mu]] MT[\[Mu], \[Nu]] FV[q - p, \[Nu]]
FV
[%] Calc
\bar{g}^{\mu \nu } \left(\overline{q}-\overline{p}\right)^{\nu } \left(\overline{p}+\overline{r}\right)^{\mu }
\overline{p}\cdot \overline{q}-\overline{p}\cdot \overline{r}-\overline{p}^2+\overline{q}\cdot \overline{r}
[{p, li1}, {q, li2}, {-p - q, li3}]
GluonVertex
[% FVD[p, li1] FVD[q, li2] FVD[-p - q, li3]] Calc
V^{\text{li1}\;\text{li2}\;\text{li3}}(p\text{, }q\text{, }-p-q)
0