Robert Mann - An Introduction to Particle Physics and the Standard Model · Problem 11.6.7

Quantum Electrodynamics — Robert Mann

Physics — Particle Physics · charge-conjugation-dirac-spinors

Problem

Charge-conjugation transforms a spinor

\psi

according to the relation

\mathbb{C}\psi = i\gamma^2\psi^*

where the

*

denotes the complex-conjugate. Compute the charge-conjugates of

v^{(\uparrow)}(x)

and

v^{(\downarrow)}(x)

. How do they compare to

u^{(\uparrow)}(x)

and

u^{(\downarrow)}(x)