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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Relativistic Boosts<br />
t ′ = γ<br />
(t + v )<br />
c 2z , z ′ = γ (z + vt) x ′ ⊥ = x ⊥<br />
generators satisfy Poincaré algebra:<br />
[P µ , P ν ] = 0<br />
[M µν , P ρ ] = i(g νρ P µ − g µρ P ν )<br />
[<br />
M µν , M ρλ] = i ( g µλ M νρ + g νρ M µλ − g µρ M νλ − g νλ M µρ)<br />
rotations: M ij = ε ijk J k , boosts: M i0 = K i .<br />
<strong>Position</strong> <strong>Space</strong> <strong>Interpretation</strong> <strong>for</strong> <strong>Generalized</strong> <strong>Parton</strong> <strong>Distributions</strong> – p.38/55
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