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Rotation by 360°, spin-1/2 fermions and quaternions
Rotating a spin-1/2 fermion by 360° multiplies the quantum state by -1.
Representing a continuous 360° rotation as a quaternion is also a multiplication by -1.
Is there a relationship between these ...
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1
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Does the Dirac Spinor live in the complexification of the Lorentz group?
In this question I learned that when working with quaternionic representations of (the double cover of) our relevant orthogonal group, we cannot avoid working in complex vector spaces. However it is ...
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Infinitesimal parameter of Lorentz transformation
I'm working through the SUSY lecture notes by Lambert, and he does something which seems strange to me during the calculation of the Wess Zumino model.
He says the spinor $\psi$ has the ...
- 199
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How is the complexification of the Lorentz Lie algebra related to the need for Dirac's 4-component spinor in QFT?
There have been several questions with good answers in physics.stackexchange about the motivation of the complexification of the Lorentz Lie algebra, basically as a mathematically nice way to deal ...
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