Position Space Interpretation for Generalized Parton Distributions

Consequences
many results from NRQM carry over to ⊥ boosts in IMF, e.g.
⊥ boosts kinematical
q ∆⊥ (x,k ⊥ ) = q 0⊥ (x,k ⊥ − x∆ ⊥ )
q ∆⊥ (x,k ⊥ , y,l ⊥ ) = q 0⊥ (x,k ⊥ − x∆ ⊥ , y,l ⊥ − y∆ ⊥ )
Transverse center of momentum R ⊥ ≡ ∑ i x ir ⊥,i plays role
similar to NR center of mass, e.g. ∫ d 2 p ⊥ |p + ,p ⊥ 〉 corresponds to
state with R ⊥ = 0 ⊥ .
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Position Space Interpretation for Generalized Parton Distributions – p.41/55