Polarization[k]
is the head of a polarization momentum with momentum k
.
A slashed polarization vector (\varepsilon_{\mu}(k) \gamma^\mu) has to be entered as GS[Polarization[k]]
.
Unless the option Transversality
is set to True
, all polarization vectors are not transverse by default.
The internal representation for a polarization vector corresponding to a boson with four momentum k is: Momentum[Polarization[k, I ]]
.
Polarization[k,-I]
denotes the complex conjugate polarization.
Polarization is also an option of various functions related to the operator product expansion. The setting 0
denotes the unpolarized and 1
the polarized case.
Polarization
may appear only inside Momentum
. Outside of Momentum
it is meaningless in FeynCalc.
The imaginary unit in the second argument of Polarization
is used to distinguish between incoming and outgoing polarization vectors.
Pair[Momentum[k], Momentum[Polarization[k, I]]]
corresponds to \varepsilon^{\mu}(k), i.e. an ingoing polarization vector
Pair[Momentum[k], Momentum[Polarization[k, -I]]]
corresponds to \varepsilon^{\ast \mu}(k), i.e. an outgoing polarization vector
Overview, PolarizationVector, PolarizationSum, DoPolarizationSums.
[k] Polarization
\text{Polarization}(k)
[k] // ComplexConjugate Polarization
\text{Polarization}(k)
[Polarization[k]] GS
\bar{\gamma }\cdot \overline{\text{Polarization}(k)}
[Polarization[k]] // StandardForm
GS
(*GS[Polarization[k]]*)
[Momentum[k], Momentum[Polarization[k, I]]] Pair
\overline{k}\cdot \bar{\varepsilon }(k)