Wednesday, 7 October 2020

special relativity - Why in the relativistic quantum mechanics gamma4 name is not used instead of gamma5?


I have seen in the in the Dirac equation γ0,γ1,γ2,γ3.

Then I have seen the definition of a new matrix γ5=iγ0γ1γ2γ3.
Now my question is why the name of the new matrix has not been given as γ4.
Is there any historical reason behind this or it is simply taken as γ5
without any special reason skipping γ4 ?



Answer



From Wikipedia:



The number 5 is a relic of old notation in which γ0 was called "γ4".




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