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What's the meaning of spin in 1+1 spacetime?

  1. Sep 28, 2010 #1
    When people discuss the Schwinger model, sometimes they still call the electron field spin-1/2 and the EM field spin-1. I wonder if there's some justification for these calling, since there's no rotations at all in 1+1 spacetime. I know for SO(n) with n>=2, one can always have well-defined spins.
  2. jcsd
  3. Sep 29, 2010 #2


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    In 1+1 dim. the spin comes from the SO(1,1) Lorentz group. There are two-component spinors, a gamma matrix representation can be constructed from the Pauli matrices.

    Of course there is no rotation in the ordinary sense, but the mathematics underlying spin is similar to the 3+1 dim case.
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