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Applications of Light-Front Dynamics in Hadron Physics 1. What is ...

Applications of Light-Front Dynamics in Hadron Physics 1. What is ...

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!<br />

same<br />

!<br />

!<br />

p 0<br />

rema<strong>in</strong> at rest<br />

P 0 = M ; p 3 = 0<br />

particle at rest<br />

p 0 = M , p 1 = p 2 = p 3 = 0<br />

(pˆ +<br />

= M cos" , pˆ<br />

= M s<strong>in</strong>")<br />

#<br />

!<br />

Under<br />

ˆ " i transformation<br />

P 0 = M +<br />

can move<br />

!<br />

!<br />

p "<br />

2<br />

p 0 + p 3<br />

2M ; p3 = #<br />

!<br />

p "<br />

2<br />

2M<br />

same<br />

!<br />

(p 0 ) 2 " (p 3 ) 2 = (M +<br />

!<br />

p #<br />

2<br />

2M )2 " ("<br />

!<br />

p #<br />

2<br />

2M )2 = M 2 + ! p # 2 = 2p + p " > 0<br />

Rational Energy-Momentum D<strong>is</strong>persion Relation<br />

Vacuum gets simpler <strong>in</strong> LFD.

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