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

Symmetrized trace

  1. Jun 3, 2005 #1
    my question is pretty technical,
    in the course of studying the non-abelian Born-Infeld, i have tried to write out the Born-Infeld langrangian written using the symmetrized trace formalism, i have met at the fourth order of field strength the term
    sTr(F^4) =F_{mn}F_{rn}F_{ml}F_{rl}+1/2F_{mn}F_{rn}F_{rl}F_{ml}
    which looks at leat for me so involved to get proved.

    My given is,
    F is field strength of nonabelian gauge field
    F is g-valued (g is Lie algbra of nonabelian compact gauge group G)
    Fi is in the fundamental representation of g.
    i will be so grateful if someone could give me hints or something which could hel to verify the relation in question
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?