FeynCalc manual (development version)

FCGetScalarProducts

FCGetScalarProducts[{p1, p2, ...}] returns all scalar products involving external momenta p1, p2, ... that were set using down values.

Using the option SetDimensions one can specify the dimensions of scalar products one is interested in.

See also

Overview, ScalarProduct, Pair, SP, SPD.

Examples

FCClearScalarProducts[];
SP[p1] = m1^2;
SP[p1] = m2^2;
SP[p1, p2] = s;
SPD[q1] = M1^2;
SPD[q2] = M2^2;
SPD[q1, q2] = t;

FCGetScalarProducts[{p1, p2, q1, q2}]

\left\{\text{Hold}[\text{Pair}]\left[\overline{\text{p1}},\overline{\text{p1}}\right]\to \;\text{m2}^2,\text{Hold}[\text{Pair}]\left[\overline{\text{p1}},\overline{\text{p2}}\right]\to s,\text{Hold}[\text{Pair}][\text{q1},\text{q1}]\to \;\text{M1}^2,\text{Hold}[\text{Pair}][\text{q2},\text{q2}]\to \;\text{M2}^2,\text{Hold}[\text{Pair}][\text{q1},\text{q2}]\to t\right\}

FCGetScalarProducts[{p1, p2, q1, q2}, SetDimensions -> {4}]

\left\{\text{Hold}[\text{Pair}]\left[\overline{\text{p1}},\overline{\text{p1}}\right]\to \;\text{m2}^2,\text{Hold}[\text{Pair}]\left[\overline{\text{p1}},\overline{\text{p2}}\right]\to s\right\}

FCGetScalarProducts[{p1, p2, q1, q2}, SetDimensions -> {D}]

\left\{\text{Hold}[\text{Pair}][\text{q1},\text{q1}]\to \;\text{M1}^2,\text{Hold}[\text{Pair}][\text{q2},\text{q2}]\to \;\text{M2}^2,\text{Hold}[\text{Pair}][\text{q1},\text{q2}]\to t\right\}