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Einstein-Cartan geometry in CDT?

  1. Mar 30, 2010 #1
    I hope I do not ask a dumb question: Does/did ever the causal dynamical triangulation program implement torsion degrees of freedom when calculating exp(iS)? Or were the calculations performed torsion-free? I did a search but couldn't figure it out.
  2. jcsd
  3. Mar 31, 2010 #2


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    In EC theory, torsion is non-propagating, so there are no torsion waves. Therefore torsions exists only in the world-volume where its source, namely the matter spin current is non-vanishing.

    As far as I know CDT has not yet included matter degrees of freedom, therefore torsion is always zero.
  4. Mar 31, 2010 #3
    I see. Thank you!
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