Position Space Interpretation for Generalized Parton Distributions
Position Space Interpretation for Generalized Parton Distributions
Position Space Interpretation for Generalized Parton Distributions
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Galilean subgroup of ⊥ boosts<br />
introduce generator of ⊥ ‘boosts’:<br />
B x ≡ M +x = K x + J y<br />
√<br />
2<br />
B y ≡ M +y = K y − J x<br />
√<br />
2<br />
Poincaré algebra =⇒ commutation relations:<br />
[J 3 , B k ] = iε kl B l [P k , B l ] = −iδ kl P +<br />
[<br />
P − , B k<br />
]<br />
= −iP k [P + , B k ] = 0<br />
with k, l ∈{x, y}, ε xy = −ε yx = 1, and ε xx = ε yy = 0.<br />
<strong>Position</strong> <strong>Space</strong> <strong>Interpretation</strong> <strong>for</strong> <strong>Generalized</strong> <strong>Parton</strong> <strong>Distributions</strong> – p.39/55