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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
    thx
     
  2. jcsd
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