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Massive Vector Polarizations in Spherical Coordinates

  1. Jun 13, 2013 #1

    Hepth

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    Gold Member

    I can't seem to find one, but does anyone have a reference to the fourvector polarizations for a massive vector particle in spherical coordinates where a momentum is defined as

    [tex]
    p = \{E, |\vec{p}| \sin \theta \sin \phi, |\vec{p}|\sin \theta \cos \phi , |\vec{p}| \cos \theta\}
    [/tex]
    theta goes from 0..pi (angle off of z axis)
    phi from 0..2 pi (angle about z axis)

    So I'm just looking for the longitudinal and two transverse components of [itex]\epsilon^{\mu}[/itex]. (Circular basis is probably best).

    I can find them for a particle in its rest frame, but I need it in any generic frame (or rather something else's rest frame).

    Maye its just obvious and I'm missing it but I can't seem to find it anywhere in generic angles.
     
  2. jcsd
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