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Introduction to QCD slides - P.Hoyer.pdf - High Energy Physics Group

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† †<br />

2 * 2 matrices: " " " " " " # ; det " " 1<br />

"<br />

" exp !<br />

a 1 a<br />

Fundamental Representation: ! F " !<br />

2 Pauli<br />

The Standard Model A. Pich - CERN Summer Lectures 2008<br />

Paul <strong>Hoyer</strong> Mugla 2010<br />

+ i - ,<br />

a a<br />

Commutation Relation:<br />

a a†<br />

a<br />

; ! " ! ; Tr ( ! ) " 0 ; a = 1 , ! , 3<br />

a b abc c<br />

/ , 0<br />

1<br />

! !<br />

2<br />

" i . !<br />

1 $ 0 1% 2 $ 0 # i % 3 $ 1 0 %<br />

! " & ' ; ! " & ' ; ! " & '<br />

( 1 0) ( i 0 ) ( 0 # 1)<br />

8

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