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Symmetries in particle physics

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Discrete symmetries:<br />

Parity<br />

Helicity, chirality, and all that<br />

Note: Reflections turn left-handed coord<strong>in</strong>ate systems<br />

<strong>in</strong>to right-handed ones and vice versa, this affects<br />

sp<strong>in</strong>s etc.<br />

More physical def<strong>in</strong>ition: Def<strong>in</strong>e handedness as sp<strong>in</strong><br />

with respect to the axis of motion (technically<br />

speak<strong>in</strong>g, this is helicity). For massive <strong>particle</strong>s this is<br />

not Lorentz-<strong>in</strong>variant, but for massless ones it is.<br />

Therefore, helicity is a mean<strong>in</strong>gful, fixed property of<br />

massless <strong>particle</strong>s, called chirality.

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