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

Is the usual non-abelian gauge field A real or complex?

  1. Mar 28, 2004 #1
    If it's complex how could one calculate the 2 points function of A(+) and A? Thanks
  2. jcsd
  3. Apr 1, 2004 #2
    Gauge fields are real. They are in the adjoint representations of the gauge groups, which are real representations. On a related note, you can show that if you have a collection of fieldstrengths that can only be expressed in the Lagrangian as complex combinations, then you cannot define vector potentials corresponding to these complex fieldstrengths. Therefore, you cannot have gauge fields in a theory if the corresponding fieldstrengths in the theory are complex.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook