Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Weyl version of the Rarita-schwinger equation

  1. Oct 19, 2011 #1
    Hello,
    Can someone please give me the form of the "Weyl" version of the Rarita-Schwinger equation.
    Thanks
     
  2. jcsd
  3. Oct 19, 2011 #2

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

    I don't know what you mean. What's the Weyl version of other equation ?
     
  4. Oct 19, 2011 #3
    i want the expression in terms of two component spinors and not Dirac spinors.
     
  5. Oct 19, 2011 #4

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

    There are no Dirac spinors in that equation, but Rarita-Schwinger spinors.
     
  6. Oct 19, 2011 #5
    yes you're right.
    what if i want to express it in terms of sigmas instead of gamma matrices. by what i can replace the levi-civita?
     
  7. Oct 19, 2011 #6

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

  8. Oct 19, 2011 #7

    Bill_K

    User Avatar
    Science Advisor

    abφaa1a2...alb1b2...bk = iκ χa1a2...alb1b2...bk
    abχa1a2...albb1b2...bk = iκ φaa1a2...albb1b2...bk

    Here both spinors φ and χ are symmetric. κ is the mass. φ has l+1 undotted (raised) and k dotted (lowered) indices; χ has l undotted and k+1 dotted indices. The underlying representation of the field equations is therefore ((l+1)/2 , k/2) ⊕ (l/2 , (k+1)/2).
     
    Last edited: Oct 19, 2011
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Weyl version of the Rarita-schwinger equation
Loading...