ChangeDimension

Description

ChangeDimension[exp, dim] changes all LorentzIndex and Momenta in exp to dimension dim (and also Levi-Civita-tensors, Dirac slashes and Dirac matrices).

See also: LorentzIndex, Momentum, DiracGamma, Eps.

Examples

Remember that LorentzIndex[mu, 4] is simplified to LorentzIndex[mu] and Momentum[p, 4] to Momentum[p]. Thus the fullowing objects are defined in four dimensions.

[Graphics:Images/index_gr_1.gif]
[Graphics:Images/index_gr_2.gif]
[Graphics:Images/index_gr_3.gif]
[Graphics:Images/index_gr_4.gif]
[Graphics:Images/index_gr_5.gif]
[Graphics:Images/index_gr_6.gif]

This changes all non-4-dimensional objects to 4-dimensional ones.

[Graphics:Images/index_gr_7.gif]
[Graphics:Images/index_gr_8.gif]

Consider the following list of 4- and D-dimensional object.

[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]

Any explicit occurence of D (like in f(D)) is not replaced by ChangeDimension.

[Graphics:Images/index_gr_15.gif]

The option Dimension of Eps must be changed too, since with the default setting Dimension->4 the arguments of Eps are automatically changed to 4 dimensions.

[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]
[Graphics:Images/index_gr_23.gif]
[Graphics:Images/index_gr_24.gif]
[Graphics:Images/index_gr_25.gif]
[Graphics:Images/index_gr_26.gif]


The FeynCalc Book   previousCF   nextChargeConjugationMatrix

Converted from the Mathematica notebook ChangeDimension.nb