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Covariant derivative of a Dirac spinor and Kosmann lift
In [1] I have found a definition of the covariant derivative of a Dirac field with a general connection $\omega_{\mu a}{}^{b}$ (with torsion and non-metricity) [see eq. (29)]:
$$\nabla_{\mu}\psi=\...
- 567
0
votes
1
answer
142
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What's the generator of spinor field shifts?
The shift of a scalar field $\Phi$:
$$ \Phi \rightarrow \Phi'=\Phi - i \epsilon $$
is generated by
$$ G = -i \frac{d}{d\Phi},$$
because
$$ \mathrm{e}^{-i \epsilon \frac{d}{d\Phi} } \Phi = (1-i\...
- 10.3k
4
votes
2
answers
653
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What does it mean to differentiate a spinor-valued field?
Peskin and Schroeder, equation 3.28, states that the Klein-Gordon equation $$(\partial^2+m^2)\psi=0 \tag{3.28}$$ is a valid choice of equation for a Dirac spinor field. Their explanation makes sense (...
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