you have any intuition about the answers of
the following integrals,
\int_{0}^{1}\int_{0}^{1}u*PolyLog[u*v]*Log[v]/(1-u*vdudv.
and
\int_{0}^{1}\int_{0}^{1}u*PolyLog[u*v]*Log[1-v]/(1-u*v)dudv.
and
\int_{0}^{1}PolyLog[4,u/(u-1)]du.
thank you in advance
wissam
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)...
Dear daniel
we know that
F=dA+1/2[A,A]=dA+A^A (differential forms)
F_{mu nu}=[D_{mu},D_{nu}] in any local basis.
F here is g-valued
F_{mu nu}=F^a T_{a} where T_{a} is the generator of g.
In the irre. adjoint representation of g gives C_{ab}^{c}=(T_{a})^{c}_{b}
where C is the...
the gauge field is the yang-mills
Dear daniel
Thank u for your interest in my question, the story here, physically talking means that the gauge field is the non-abelain gauge field "A_{mu}, and the field strength is the F_{mu nu}.
the gauge field is not the one of the gravidation
PS...
Dear friends
I am here with mathematical physics question:
we know tha if i have a compact Lie group G with g its Lie algebra, and a connection A on the fibre,
For nonabelain Lie algebra
The relation between covariant derivative and the curvature of A is
[ tex...