ScalarProduct

Description

ScalarProduct[p, q] is the input for scalar product. ScalarProduct[p] is equivalent to ScalarProduct[p, p]. Expansion of sums of momenta in ScalarProduct is done with ExpandScalarProduct. Scalar product may be set, e.g., ScalarProduct[a, b] = [Graphics:Images/index_gr_1.gif]; but a and b must not contain sums. Note that ScalarProduct[a, b] = [Graphics:Images/index_gr_2.gif] actually sets also: Pair[Momentum[a, ___], Momentum[b, ___]] = [Graphics:Images/index_gr_3.gif]. It is encouraged to always set ScalarProduct's before any calculation. This improves the performance of FeynCalc .

See also: Calc, ClearScalarProducts, ExpandScalarProduct, Pair, SP, SPD.

Examples
[Graphics:Images/index_gr_4.gif]
[Graphics:Images/index_gr_5.gif]
[Graphics:Images/index_gr_6.gif]
[Graphics:Images/index_gr_7.gif]
[Graphics:Images/index_gr_8.gif]
[Graphics:Images/index_gr_9.gif]
[Graphics:Images/index_gr_10.gif]
[Graphics:Images/index_gr_11.gif]
[Graphics:Images/index_gr_12.gif]
[Graphics:Images/index_gr_13.gif]
[Graphics:Images/index_gr_14.gif]
[Graphics:Images/index_gr_15.gif]
[Graphics:Images/index_gr_16.gif]
[Graphics:Images/index_gr_17.gif]
[Graphics:Images/index_gr_18.gif]
[Graphics:Images/index_gr_19.gif]
[Graphics:Images/index_gr_20.gif]
[Graphics:Images/index_gr_21.gif]
[Graphics:Images/index_gr_22.gif]


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Converted from the Mathematica notebook ScalarProduct.nb