spinors obey The Dirac equation is (i", - m)=0 where, in the so-called chiral basis, the gamma matrices are: -(¹) -(0) where i runs over 1,2,3 and o are the Pauli spin matrices. i. In this basis, calculate the 'fifth' gamma matrix 5 = ²³. ii. Determine the result of the projection operator (1+75) acting on the spinor ΟΥ X=
spinors obey The Dirac equation is (i", - m)=0 where, in the so-called chiral basis, the gamma matrices are: -(¹) -(0) where i runs over 1,2,3 and o are the Pauli spin matrices. i. In this basis, calculate the 'fifth' gamma matrix 5 = ²³. ii. Determine the result of the projection operator (1+75) acting on the spinor ΟΥ X=
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Transcribed Image Text:(d) Fermions are represented by Dirac spinors and obey the Dirac equation.
The Dirac equation is (i", - m)=0 where, in the so-called chiral basis, the gamma
matrices are:
x=(-15) -
where i runs over 1,2,3 and o are the Pauli spin matrices.
i. In this basis, calculate the 'fifth' gamma matrix 75 = iyºy¹z²z³.
ii. Determine the result of the projection operator (1+75) acting on the spinor
- (3).
X =
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