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

Vierbeins and spin connections kinetic terms (probably a stupid question)

  1. Jan 9, 2009 #1
    when we try to build the gauge theory of gravity we needs the vierbeins fields and spin connections fields. In the case we take them independent, which are the kinetic terms for two fields? or in other words, is the commutator of covariant derivatives the kinetic term for vierbeins and for spin connections?
  2. jcsd
  3. Jan 10, 2009 #2
    Is it a very stupid question or nobody knows the answer?
  4. Jan 16, 2009 #3
    at least i found the reply by myself. In terms of local lorentz invariance, the kinetic term include only the part of spin connections. In terms of Poincarè local invariance include the vierbein terms.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook