Quantum Mechanics for Mathematicians

(lily) #1

Show that, form= 0, the Majorana fermion theory has anSO(2) symmetry
given by the action


Ψ(x)→cosθΨ(x) + sinθ γ 0 γ 1 γ 2 γ 3 Ψ(x)

What is the corresponding Lie algebra representation operator (this is called
the “axial charge”)?

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