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Symmetries in particle physics

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The eightfold way, revisited<br />

Some SU(3) relations<br />

Why SU(3)<br />

In isosp<strong>in</strong>, there are two quarks related by<br />

symmetry,<br />

and<br />

The group related to this is the sp<strong>in</strong> group, or<br />

SU(2). Its generators are the Pauli matrices,<br />

The pions can be identified with σ 3<br />

and the two<br />

l<strong>in</strong>ear comb<strong>in</strong>ations (of def<strong>in</strong>ite charge)

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