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W boson propagator

  1. Mar 15, 2015 #1
    Hi there,

    As in Ta-Pei Cheng and Li's book for example the W boson propagator is given by :

    ## \frac{-i}{k^2-M^2} [g_{\mu\nu}+ (\zeta-1) k_\mu k_\nu/(k^2 - \zeta M^2)] ##

    At the unitary gauge ## \zeta = \infty ##, where the W propagator becomes :

    ## \frac{-i}{k^2-M^2} [g_{\mu\nu}- k_\mu k_\nu/ M^2 ] ##

    It is not clear for me how when we set ## \zeta ## to ## \infty ##, we got the last formula in the unitary gauge ?

    Bests.
     
  2. jcsd
  3. Mar 15, 2015 #2

    mfb

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    Staff: Mentor

    You can divide numerator and denominator by ζ and then simply take the limit of both.
     
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